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Finding the Fourth Proportional to 422,469.92, 633,344.02 and 156,180.80

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Solution

The fourth proportional to 422,469.92, 633,344.02 and 156,180.80 is: 234,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,469.92 : 633,344.02 = 156,180.80 : x
  2. Step 2: Convert to fraction form
    422,469.92/633,344.02 = 156,180.80/x
  3. Step 3: Cross multiply
    422,469.92x = 633,344.02 × 156,180.80
  4. Step 4: Simplify right side
    422,469.92x = 98,916,172,161.64
  5. Step 5: Solve for x
    x = 98,916,172,161.64/422,469.92
  6. Step 6: Final answer
    x = 234,137.79

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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.