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Finding the Fourth Proportional to 422,233, 582,687.86 and 231,264.20

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Solution

The fourth proportional to 422,233, 582,687.86 and 231,264.20 is: 319,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,233 : 582,687.86 = 231,264.20 : x
  2. Step 2: Convert to fraction form
    422,233/582,687.86 = 231,264.20/x
  3. Step 3: Cross multiply
    422,233x = 582,687.86 × 231,264.20
  4. Step 4: Simplify right side
    422,233x = 134,754,841,792.61
  5. Step 5: Solve for x
    x = 134,754,841,792.61/422,233
  6. Step 6: Final answer
    x = 319,148.06

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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.