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Finding the Fourth Proportional to 422,600.40, 583,203.33 and 231,613.74

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Solution

The fourth proportional to 422,600.40, 583,203.33 and 231,613.74 is: 319,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,600.40 : 583,203.33 = 231,613.74 : x
  2. Step 2: Convert to fraction form
    422,600.40/583,203.33 = 231,613.74/x
  3. Step 3: Cross multiply
    422,600.40x = 583,203.33 × 231,613.74
  4. Step 4: Simplify right side
    422,600.40x = 135,077,904,441.75
  5. Step 5: Solve for x
    x = 135,077,904,441.75/422,600.40
  6. Step 6: Final answer
    x = 319,635.06

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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.