Given the following information on previous weeks$$ cash flows, calculate the forecasted cash flow for Week $6,$ using the exponential smoothing approach with a smoothing constant, using the alpha indicated below. Note that the forecasted value is always based on a $3$ week moving average of the prior weeks.

Week $1$ $$536,000$

Week $2$ $$342,000$

Week $3$ $$324,000$

Week $4$ $$764,000$

Week $5$ $$505,000$

Alpha $30\%$

Group of answer choices

$$485,167$

$$512,000$

$$571,000$

$$476,667$