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Finding the Fourth Proportional to 413,372.53, 570,410.03 and 232,104.25

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Solution

The fourth proportional to 413,372.53, 570,410.03 and 232,104.25 is: 320,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,372.53 : 570,410.03 = 232,104.25 : x
  2. Step 2: Convert to fraction form
    413,372.53/570,410.03 = 232,104.25/x
  3. Step 3: Cross multiply
    413,372.53x = 570,410.03 × 232,104.25
  4. Step 4: Simplify right side
    413,372.53x = 132,394,591,045.11
  5. Step 5: Solve for x
    x = 132,394,591,045.11/413,372.53
  6. Step 6: Final answer
    x = 320,279.12

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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.