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Finding the Fourth Proportional to 475,761.60, 656,555.76 and 271,839.24

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Solution

The fourth proportional to 475,761.60, 656,555.76 and 271,839.24 is: 375,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,761.60 : 656,555.76 = 271,839.24 : x
  2. Step 2: Convert to fraction form
    475,761.60/656,555.76 = 271,839.24/x
  3. Step 3: Cross multiply
    475,761.60x = 656,555.76 × 271,839.24
  4. Step 4: Simplify right side
    475,761.60x = 178,477,618,816.02
  5. Step 5: Solve for x
    x = 178,477,618,816.02/475,761.60
  6. Step 6: Final answer
    x = 375,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.