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Finding the Fourth Proportional to 410,793.09, 616,211.85 and 126,679.24

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Solution

The fourth proportional to 410,793.09, 616,211.85 and 126,679.24 is: 190,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,793.09 : 616,211.85 = 126,679.24 : x
  2. Step 2: Convert to fraction form
    410,793.09/616,211.85 = 126,679.24/x
  3. Step 3: Cross multiply
    410,793.09x = 616,211.85 × 126,679.24
  4. Step 4: Simplify right side
    410,793.09x = 78,061,250,082.31
  5. Step 5: Solve for x
    x = 78,061,250,082.31/410,793.09
  6. Step 6: Final answer
    x = 190,025.71

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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.