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Finding the Fourth Proportional to 542,732.40, 813,952.80 and 187,855.20

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Solution

The fourth proportional to 542,732.40, 813,952.80 and 187,855.20 is: 281,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,732.40 : 813,952.80 = 187,855.20 : x
  2. Step 2: Convert to fraction form
    542,732.40/813,952.80 = 187,855.20/x
  3. Step 3: Cross multiply
    542,732.40x = 813,952.80 × 187,855.20
  4. Step 4: Simplify right side
    542,732.40x = 152,905,266,034.56
  5. Step 5: Solve for x
    x = 152,905,266,034.56/542,732.40
  6. Step 6: Final answer
    x = 281,732.33

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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.