Defining Internal Growth Rate & Computing Plowback Ratio

Assets and costs are proportional to sales. Debt & equity are not. Filer Manufacturing Co. maintains a constant 40% dividend payout ratio. No external financing is possible. What is the internal growth rate?

How do I determine the addition to retained earnings to compute the plowback ratio?

Attached is the income statement and balance sheet.

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...o, via spending a part of it and retaining the rest.

This is exactly what companies do, they payout a part of the Net Income as Dividends to the shareholders and retain the rest and we call it Retained Earnings.
The equation is: (ROA x b)/(1-ROA x ...