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Finding the Fourth Proportional to 542,702.16, 814,177.23 and 187,715.88

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Solution

The fourth proportional to 542,702.16, 814,177.23 and 187,715.88 is: 281,616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,702.16 : 814,177.23 = 187,715.88 : x
  2. Step 2: Convert to fraction form
    542,702.16/814,177.23 = 187,715.88/x
  3. Step 3: Cross multiply
    542,702.16x = 814,177.23 × 187,715.88
  4. Step 4: Simplify right side
    542,702.16x = 152,833,995,205.41
  5. Step 5: Solve for x
    x = 152,833,995,205.41/542,702.16
  6. Step 6: Final answer
    x = 281,616.71

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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.