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Finding the Fourth Proportional to 424,462.64, 636,546.24 and 158,077.80

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Solution

The fourth proportional to 424,462.64, 636,546.24 and 158,077.80 is: 237,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,462.64 : 636,546.24 = 158,077.80 : x
  2. Step 2: Convert to fraction form
    424,462.64/636,546.24 = 158,077.80/x
  3. Step 3: Cross multiply
    424,462.64x = 636,546.24 × 158,077.80
  4. Step 4: Simplify right side
    424,462.64x = 100,623,829,217.47
  5. Step 5: Solve for x
    x = 100,623,829,217.47/424,462.64
  6. Step 6: Final answer
    x = 237,061.69

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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.