Problem $02\mathrm{.}038-$ Calculation of unknown base cash flow

The future worth in year $10$ of an arithmetic gradient cash flow series for years $1$ through $10$ is $$550,000.$ If the gradient increase each

year, G$,$ is $$1,500,$ determine the cash flow in year $1$ at an interest rate of $9\mathrm{.}00\%$ per year. $($Round the final answer to three decimal

places.$)$

The cash flow in year $1$ is $