The Joshi Fish Farm $($JFF$),$ a saltwater aquarium company, is planning to expand its operations. It anticipates that an expansion will be

undertaken in $6$ years. In anticipation of the expansion, JFF invests money into a mutual fund that earns $8\%$ compounded annually to

finance the expansion. At the end of year $1,$ they invest $$90,000.$ They increase the amount of their investment by $$28,000$ each year.

How much will JFF have at the end of $6$ years so that it can pay for the expansion?

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Carry all interim calculations to $5$ decimal places and then round your final answer to a whole number. The tolerance is $+-50.$