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Finding the Fourth Proportional to 542,701.38, 814,176.09 and 187,715.10

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Solution

The fourth proportional to 542,701.38, 814,176.09 and 187,715.10 is: 281,615.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,701.38 : 814,176.09 = 187,715.10 : x
  2. Step 2: Convert to fraction form
    542,701.38/814,176.09 = 187,715.10/x
  3. Step 3: Cross multiply
    542,701.38x = 814,176.09 × 187,715.10
  4. Step 4: Simplify right side
    542,701.38x = 152,833,146,151.96
  5. Step 5: Solve for x
    x = 152,833,146,151.96/542,701.38
  6. Step 6: Final answer
    x = 281,615.55

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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.