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Finding the Fourth Proportional to 422,142.16, 582,555.84 and 231,159.28

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Solution

The fourth proportional to 422,142.16, 582,555.84 and 231,159.28 is: 318,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,142.16 : 582,555.84 = 231,159.28 : x
  2. Step 2: Convert to fraction form
    422,142.16/582,555.84 = 231,159.28/x
  3. Step 3: Cross multiply
    422,142.16x = 582,555.84 × 231,159.28
  4. Step 4: Simplify right side
    422,142.16x = 134,663,188,534.20
  5. Step 5: Solve for x
    x = 134,663,188,534.20/422,142.16
  6. Step 6: Final answer
    x = 318,999.62

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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.