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Finding the Fourth Proportional to 422,856.66, 583,559.04 and 231,876.90

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Solution

The fourth proportional to 422,856.66, 583,559.04 and 231,876.90 is: 319,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,856.66 : 583,559.04 = 231,876.90 : x
  2. Step 2: Convert to fraction form
    422,856.66/583,559.04 = 231,876.90/x
  3. Step 3: Cross multiply
    422,856.66x = 583,559.04 × 231,876.90
  4. Step 4: Simplify right side
    422,856.66x = 135,313,861,162.18
  5. Step 5: Solve for x
    x = 135,313,861,162.18/422,856.66
  6. Step 6: Final answer
    x = 319,999.36

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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.