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Finding the Fourth Proportional to 542,285.60, 813,658.80 and 261,658.40

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Solution

The fourth proportional to 542,285.60, 813,658.80 and 261,658.40 is: 392,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,285.60 : 813,658.80 = 261,658.40 : x
  2. Step 2: Convert to fraction form
    542,285.60/813,658.80 = 261,658.40/x
  3. Step 3: Cross multiply
    542,285.60x = 813,658.80 × 261,658.40
  4. Step 4: Simplify right side
    542,285.60x = 212,900,659,753.92
  5. Step 5: Solve for x
    x = 212,900,659,753.92/542,285.60
  6. Step 6: Final answer
    x = 392,598.77

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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.