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Finding the Fourth Proportional to 506,933.14, 699,545.73 and 280,565.14

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Solution

The fourth proportional to 506,933.14, 699,545.73 and 280,565.14 is: 387,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,933.14 : 699,545.73 = 280,565.14 : x
  2. Step 2: Convert to fraction form
    506,933.14/699,545.73 = 280,565.14/x
  3. Step 3: Cross multiply
    506,933.14x = 699,545.73 × 280,565.14
  4. Step 4: Simplify right side
    506,933.14x = 196,268,145,673.85
  5. Step 5: Solve for x
    x = 196,268,145,673.85/506,933.14
  6. Step 6: Final answer
    x = 387,167.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.