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Finding the Fourth Proportional to 422,766.32, 583,402.04 and 231,775.52

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Solution

The fourth proportional to 422,766.32, 583,402.04 and 231,775.52 is: 319,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,766.32 : 583,402.04 = 231,775.52 : x
  2. Step 2: Convert to fraction form
    422,766.32/583,402.04 = 231,775.52/x
  3. Step 3: Cross multiply
    422,766.32x = 583,402.04 × 231,775.52
  4. Step 4: Simplify right side
    422,766.32x = 135,218,311,190.06
  5. Step 5: Solve for x
    x = 135,218,311,190.06/422,766.32
  6. Step 6: Final answer
    x = 319,841.73

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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.