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Finding the Fourth Proportional to 397,171.80, 595,757.70 and 271,200.60

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Solution

The fourth proportional to 397,171.80, 595,757.70 and 271,200.60 is: 406,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,171.80 : 595,757.70 = 271,200.60 : x
  2. Step 2: Convert to fraction form
    397,171.80/595,757.70 = 271,200.60/x
  3. Step 3: Cross multiply
    397,171.80x = 595,757.70 × 271,200.60
  4. Step 4: Simplify right side
    397,171.80x = 161,569,845,694.62
  5. Step 5: Solve for x
    x = 161,569,845,694.62/397,171.80
  6. Step 6: Final answer
    x = 406,800.90

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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.