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Finding the Fourth Proportional to 278,086.50, 413,552.43 and 269,229.06

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Solution

The fourth proportional to 278,086.50, 413,552.43 and 269,229.06 is: 400,380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,086.50 : 413,552.43 = 269,229.06 : x
  2. Step 2: Convert to fraction form
    278,086.50/413,552.43 = 269,229.06/x
  3. Step 3: Cross multiply
    278,086.50x = 413,552.43 × 269,229.06
  4. Step 4: Simplify right side
    278,086.50x = 111,340,331,989.62
  5. Step 5: Solve for x
    x = 111,340,331,989.62/278,086.50
  6. Step 6: Final answer
    x = 400,380.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.