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Finding the Fourth Proportional to 422,549.71, 583,123.19 and 231,559

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Solution

The fourth proportional to 422,549.71, 583,123.19 and 231,559 is: 319,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,549.71 : 583,123.19 = 231,559 : x
  2. Step 2: Convert to fraction form
    422,549.71/583,123.19 = 231,559/x
  3. Step 3: Cross multiply
    422,549.71x = 583,123.19 × 231,559
  4. Step 4: Simplify right side
    422,549.71x = 135,027,422,753.21
  5. Step 5: Solve for x
    x = 135,027,422,753.21/422,549.71
  6. Step 6: Final answer
    x = 319,553.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.