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Finding the Fourth Proportional to 422,742.38, 583,383.24 and 231,755.91

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Solution

The fourth proportional to 422,742.38, 583,383.24 and 231,755.91 is: 319,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,742.38 : 583,383.24 = 231,755.91 : x
  2. Step 2: Convert to fraction form
    422,742.38/583,383.24 = 231,755.91/x
  3. Step 3: Cross multiply
    422,742.38x = 583,383.24 × 231,755.91
  4. Step 4: Simplify right side
    422,742.38x = 135,202,513,664.95
  5. Step 5: Solve for x
    x = 135,202,513,664.95/422,742.38
  6. Step 6: Final answer
    x = 319,822.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.