
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
During the "May Day" promotion in a certain shopping mall, the total turnover for the first four days was $450$ million yuan, and the turnover on the fifth day was $12\%$ of the total turnover of the first four days.
$(1)$ Find the total turnover of the shopping mall for these five days during the "May Day" promotion.
$(2)$ The turnover of the shopping mall in February was $350$ million yuan, and the monthly growth rates of turnover in March and April are the same. The total turnover of these five days during the "May Day" promotion is equal to the turnover in April. Find the monthly growth rate of turnover in March and April.

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