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Finding the Fourth Proportional to 412,245.46, 568,769.61 and 230,932.90

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Solution

The fourth proportional to 412,245.46, 568,769.61 and 230,932.90 is: 318,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,245.46 : 568,769.61 = 230,932.90 : x
  2. Step 2: Convert to fraction form
    412,245.46/568,769.61 = 230,932.90/x
  3. Step 3: Cross multiply
    412,245.46x = 568,769.61 × 230,932.90
  4. Step 4: Simplify right side
    412,245.46x = 131,347,615,469.17
  5. Step 5: Solve for x
    x = 131,347,615,469.17/412,245.46
  6. Step 6: Final answer
    x = 318,615.07

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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.