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Finding the Fourth Proportional to 422,167.52, 582,592.74 and 231,179.24

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Solution

The fourth proportional to 422,167.52, 582,592.74 and 231,179.24 is: 319,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,167.52 : 582,592.74 = 231,179.24 : x
  2. Step 2: Convert to fraction form
    422,167.52/582,592.74 = 231,179.24/x
  3. Step 3: Cross multiply
    422,167.52x = 582,592.74 × 231,179.24
  4. Step 4: Simplify right side
    422,167.52x = 134,683,346,862.72
  5. Step 5: Solve for x
    x = 134,683,346,862.72/422,167.52
  6. Step 6: Final answer
    x = 319,028.21

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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.