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Finding the Fourth Proportional to 542,792.68, 814,262.94 and 187,711.40

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Solution

The fourth proportional to 542,792.68, 814,262.94 and 187,711.40 is: 281,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,792.68 : 814,262.94 = 187,711.40 : x
  2. Step 2: Convert to fraction form
    542,792.68/814,262.94 = 187,711.40/x
  3. Step 3: Cross multiply
    542,792.68x = 814,262.94 × 187,711.40
  4. Step 4: Simplify right side
    542,792.68x = 152,846,436,435.52
  5. Step 5: Solve for x
    x = 152,846,436,435.52/542,792.68
  6. Step 6: Final answer
    x = 281,592.66

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Why These Related Problems?

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