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Finding the Fourth Proportional to 486,793.92, 730,192.32 and 149,832

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Solution

The fourth proportional to 486,793.92, 730,192.32 and 149,832 is: 224,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,793.92 : 730,192.32 = 149,832 : x
  2. Step 2: Convert to fraction form
    486,793.92/730,192.32 = 149,832/x
  3. Step 3: Cross multiply
    486,793.92x = 730,192.32 × 149,832
  4. Step 4: Simplify right side
    486,793.92x = 109,406,175,690.24
  5. Step 5: Solve for x
    x = 109,406,175,690.24/486,793.92
  6. Step 6: Final answer
    x = 224,748.44

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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.