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Finding the Fourth Proportional to 412,712.34, 569,503.46 and 231,431.92

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Solution

The fourth proportional to 412,712.34, 569,503.46 and 231,431.92 is: 319,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,712.34 : 569,503.46 = 231,431.92 : x
  2. Step 2: Convert to fraction form
    412,712.34/569,503.46 = 231,431.92/x
  3. Step 3: Cross multiply
    412,712.34x = 569,503.46 × 231,431.92
  4. Step 4: Simplify right side
    412,712.34x = 131,801,279,194.44
  5. Step 5: Solve for x
    x = 131,801,279,194.44/412,712.34
  6. Step 6: Final answer
    x = 319,353.86

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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.