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Finding the Fourth Proportional to 442,935.60, 664,403.40 and 413,192.40

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Solution

The fourth proportional to 442,935.60, 664,403.40 and 413,192.40 is: 619,788.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,935.60 : 664,403.40 = 413,192.40 : x
  2. Step 2: Convert to fraction form
    442,935.60/664,403.40 = 413,192.40/x
  3. Step 3: Cross multiply
    442,935.60x = 664,403.40 × 413,192.40
  4. Step 4: Simplify right side
    442,935.60x = 274,526,435,414.16
  5. Step 5: Solve for x
    x = 274,526,435,414.16/442,935.60
  6. Step 6: Final answer
    x = 619,788.60

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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.