
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a factory, a bonus amount which is an exact multiple of 100 is to be distributed among four workers. They are informed that they can choose between two principles for the distribution. The first principle distributes the amount in proportion to their monthly salaries, and the second principle distributes it in proportion to their years of service. Each worker voted for the principle that was more favorable for themselves, resulting in a tie. They finally agreed that each worker would receive the average of the amounts they would have received under the two principles, rounded to the nearest 10 Forints. Consequently, the youngest worker received 980 Forints. How much did the others receive if they have been working for 14, 17, 21, and 31 years respectively, and their current monthly salaries are 1500 Ft, 1600 Ft, 1800 Ft, and 2300 Ft?

Present the answer in LaTex format: \boxed{Your answer}
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