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Finding the Fourth Proportional to 429,452.60, 644,251.80 and 129,930.80

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Solution

The fourth proportional to 429,452.60, 644,251.80 and 129,930.80 is: 194,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,452.60 : 644,251.80 = 129,930.80 : x
  2. Step 2: Convert to fraction form
    429,452.60/644,251.80 = 129,930.80/x
  3. Step 3: Cross multiply
    429,452.60x = 644,251.80 × 129,930.80
  4. Step 4: Simplify right side
    429,452.60x = 83,708,151,775.44
  5. Step 5: Solve for x
    x = 83,708,151,775.44/429,452.60
  6. Step 6: Final answer
    x = 194,918.26

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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.