
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
Petya, Vanya, Sergey, and Ivan Ivanovich are founders of a company with some initial capital. If Petya doubles his share in the initial capital, it increases by $30\%$. If Vanya does the same, the capital increases by $40\%$. If Sergey triples his share, the capital increases by $20\%. By what factor must Ivan Ivanovich increase his share of capital so that his share in the initial capital exceeds $75\%$?

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