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Finding the Fourth Proportional to 542,702.38, 814,177.59 and 187,716.10

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Solution

The fourth proportional to 542,702.38, 814,177.59 and 187,716.10 is: 281,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,702.38 : 814,177.59 = 187,716.10 : x
  2. Step 2: Convert to fraction form
    542,702.38/814,177.59 = 187,716.10/x
  3. Step 3: Cross multiply
    542,702.38x = 814,177.59 × 187,716.10
  4. Step 4: Simplify right side
    542,702.38x = 152,834,241,902.20
  5. Step 5: Solve for x
    x = 152,834,241,902.20/542,702.38
  6. Step 6: Final answer
    x = 281,617.05

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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.