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Finding the Fourth Proportional to 422,358.40, 582,869.12 and 231,371.74

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Solution

The fourth proportional to 422,358.40, 582,869.12 and 231,371.74 is: 319,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,358.40 : 582,869.12 = 231,371.74 : x
  2. Step 2: Convert to fraction form
    422,358.40/582,869.12 = 231,371.74/x
  3. Step 3: Cross multiply
    422,358.40x = 582,869.12 × 231,371.74
  4. Step 4: Simplify right side
    422,358.40x = 134,859,442,058.40
  5. Step 5: Solve for x
    x = 134,859,442,058.40/422,358.40
  6. Step 6: Final answer
    x = 319,300.96

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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.