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Finding the Fourth Proportional to 382,842.40, 574,004.40 and 202,957.60

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Solution

The fourth proportional to 382,842.40, 574,004.40 and 202,957.60 is: 304,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,842.40 : 574,004.40 = 202,957.60 : x
  2. Step 2: Convert to fraction form
    382,842.40/574,004.40 = 202,957.60/x
  3. Step 3: Cross multiply
    382,842.40x = 574,004.40 × 202,957.60
  4. Step 4: Simplify right side
    382,842.40x = 116,498,555,413.44
  5. Step 5: Solve for x
    x = 116,498,555,413.44/382,842.40
  6. Step 6: Final answer
    x = 304,298.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.