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Finding the Fourth Proportional to 422,645.92, 583,265.82 and 231,659.26

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Solution

The fourth proportional to 422,645.92, 583,265.82 and 231,659.26 is: 319,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,645.92 : 583,265.82 = 231,659.26 : x
  2. Step 2: Convert to fraction form
    422,645.92/583,265.82 = 231,659.26/x
  3. Step 3: Cross multiply
    422,645.92x = 583,265.82 × 231,659.26
  4. Step 4: Simplify right side
    422,645.92x = 135,118,928,244.49
  5. Step 5: Solve for x
    x = 135,118,928,244.49/422,645.92
  6. Step 6: Final answer
    x = 319,697.70

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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.