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Finding the Fourth Proportional to 392,453.25, 588,767.64 and 143,135.25

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Solution

The fourth proportional to 392,453.25, 588,767.64 and 143,135.25 is: 214,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,453.25 : 588,767.64 = 143,135.25 : x
  2. Step 2: Convert to fraction form
    392,453.25/588,767.64 = 143,135.25/x
  3. Step 3: Cross multiply
    392,453.25x = 588,767.64 × 143,135.25
  4. Step 4: Simplify right side
    392,453.25x = 84,273,403,343.31
  5. Step 5: Solve for x
    x = 84,273,403,343.31/392,453.25
  6. Step 6: Final answer
    x = 214,734.88

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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.