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Finding the Fourth Proportional to 654,507.80, 981,761.70 and 486,546.20

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Solution

The fourth proportional to 654,507.80, 981,761.70 and 486,546.20 is: 729,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,507.80 : 981,761.70 = 486,546.20 : x
  2. Step 2: Convert to fraction form
    654,507.80/981,761.70 = 486,546.20/x
  3. Step 3: Cross multiply
    654,507.80x = 981,761.70 × 486,546.20
  4. Step 4: Simplify right side
    654,507.80x = 477,672,424,440.54
  5. Step 5: Solve for x
    x = 477,672,424,440.54/654,507.80
  6. Step 6: Final answer
    x = 729,819.30

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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.