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Finding the Fourth Proportional to 378,951.35, 568,724.01 and 264,353.76

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Solution

The fourth proportional to 378,951.35, 568,724.01 and 264,353.76 is: 396,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,951.35 : 568,724.01 = 264,353.76 : x
  2. Step 2: Convert to fraction form
    378,951.35/568,724.01 = 264,353.76/x
  3. Step 3: Cross multiply
    378,951.35x = 568,724.01 × 264,353.76
  4. Step 4: Simplify right side
    378,951.35x = 150,344,330,445.78
  5. Step 5: Solve for x
    x = 150,344,330,445.78/378,951.35
  6. Step 6: Final answer
    x = 396,737.82

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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.