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Finding the Fourth Proportional to 422,513.01, 583,082.15 and 231,524.73

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Solution

The fourth proportional to 422,513.01, 583,082.15 and 231,524.73 is: 319,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,513.01 : 583,082.15 = 231,524.73 : x
  2. Step 2: Convert to fraction form
    422,513.01/583,082.15 = 231,524.73/x
  3. Step 3: Cross multiply
    422,513.01x = 583,082.15 × 231,524.73
  4. Step 4: Simplify right side
    422,513.01x = 134,997,936,188.95
  5. Step 5: Solve for x
    x = 134,997,936,188.95/422,513.01
  6. Step 6: Final answer
    x = 319,511.90

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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.