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Finding the Fourth Proportional to 498,036.68, 747,061.62 and 156,468.96

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Solution

The fourth proportional to 498,036.68, 747,061.62 and 156,468.96 is: 234,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,036.68 : 747,061.62 = 156,468.96 : x
  2. Step 2: Convert to fraction form
    498,036.68/747,061.62 = 156,468.96/x
  3. Step 3: Cross multiply
    498,036.68x = 747,061.62 × 156,468.96
  4. Step 4: Simplify right side
    498,036.68x = 116,891,954,737.32
  5. Step 5: Solve for x
    x = 116,891,954,737.32/498,036.68
  6. Step 6: Final answer
    x = 234,705.51

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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.