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Finding the Fourth Proportional to 422,261.64, 582,699.24 and 231,238.17

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Solution

The fourth proportional to 422,261.64, 582,699.24 and 231,238.17 is: 319,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,261.64 : 582,699.24 = 231,238.17 : x
  2. Step 2: Convert to fraction form
    422,261.64/582,699.24 = 231,238.17/x
  3. Step 3: Cross multiply
    422,261.64x = 582,699.24 × 231,238.17
  4. Step 4: Simplify right side
    422,261.64x = 134,742,305,917.99
  5. Step 5: Solve for x
    x = 134,742,305,917.99/422,261.64
  6. Step 6: Final answer
    x = 319,096.72

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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.