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Finding the Fourth Proportional to 422,248.44, 582,712.47 and 231,260.16

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Solution

The fourth proportional to 422,248.44, 582,712.47 and 231,260.16 is: 319,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,248.44 : 582,712.47 = 231,260.16 : x
  2. Step 2: Convert to fraction form
    422,248.44/582,712.47 = 231,260.16/x
  3. Step 3: Cross multiply
    422,248.44x = 582,712.47 × 231,260.16
  4. Step 4: Simplify right side
    422,248.44x = 134,758,179,046.20
  5. Step 5: Solve for x
    x = 134,758,179,046.20/422,248.44
  6. Step 6: Final answer
    x = 319,144.29

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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.