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Finding the Fourth Proportional to 412,437.92, 569,136.12 and 231,118.88

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Solution

The fourth proportional to 412,437.92, 569,136.12 and 231,118.88 is: 318,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,437.92 : 569,136.12 = 231,118.88 : x
  2. Step 2: Convert to fraction form
    412,437.92/569,136.12 = 231,118.88/x
  3. Step 3: Cross multiply
    412,437.92x = 569,136.12 × 231,118.88
  4. Step 4: Simplify right side
    412,437.92x = 131,538,102,621.95
  5. Step 5: Solve for x
    x = 131,538,102,621.95/412,437.92
  6. Step 6: Final answer
    x = 318,928.25

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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.