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Finding the Fourth Proportional to 422,748.31, 583,389.12 and 231,761.26

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Solution

The fourth proportional to 422,748.31, 583,389.12 and 231,761.26 is: 319,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,748.31 : 583,389.12 = 231,761.26 : x
  2. Step 2: Convert to fraction form
    422,748.31/583,389.12 = 231,761.26/x
  3. Step 3: Cross multiply
    422,748.31x = 583,389.12 × 231,761.26
  4. Step 4: Simplify right side
    422,748.31x = 135,206,997,521.49
  5. Step 5: Solve for x
    x = 135,206,997,521.49/422,748.31
  6. Step 6: Final answer
    x = 319,828.59

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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.