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Finding the Fourth Proportional to 471,591.57, 706,960.62 and 172,001.91

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Solution

The fourth proportional to 471,591.57, 706,960.62 and 172,001.91 is: 257,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,591.57 : 706,960.62 = 172,001.91 : x
  2. Step 2: Convert to fraction form
    471,591.57/706,960.62 = 172,001.91/x
  3. Step 3: Cross multiply
    471,591.57x = 706,960.62 × 172,001.91
  4. Step 4: Simplify right side
    471,591.57x = 121,598,576,934.78
  5. Step 5: Solve for x
    x = 121,598,576,934.78/471,591.57
  6. Step 6: Final answer
    x = 257,847.22

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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.