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Finding the Fourth Proportional to 478,155.92, 717,061.52 and 158,248.68

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Solution

The fourth proportional to 478,155.92, 717,061.52 and 158,248.68 is: 237,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,155.92 : 717,061.52 = 158,248.68 : x
  2. Step 2: Convert to fraction form
    478,155.92/717,061.52 = 158,248.68/x
  3. Step 3: Cross multiply
    478,155.92x = 717,061.52 × 158,248.68
  4. Step 4: Simplify right side
    478,155.92x = 113,474,039,414.42
  5. Step 5: Solve for x
    x = 113,474,039,414.42/478,155.92
  6. Step 6: Final answer
    x = 237,315.98

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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.