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Finding the Fourth Proportional to 422,219.28, 582,649.56 and 231,227.76

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Solution

The fourth proportional to 422,219.28, 582,649.56 and 231,227.76 is: 319,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,219.28 : 582,649.56 = 231,227.76 : x
  2. Step 2: Convert to fraction form
    422,219.28/582,649.56 = 231,227.76/x
  3. Step 3: Cross multiply
    422,219.28x = 582,649.56 × 231,227.76
  4. Step 4: Simplify right side
    422,219.28x = 134,724,752,623.79
  5. Step 5: Solve for x
    x = 134,724,752,623.79/422,219.28
  6. Step 6: Final answer
    x = 319,087.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.