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Finding the Fourth Proportional to 412,850.28, 569,687.80 and 231,524.88

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Solution

The fourth proportional to 412,850.28, 569,687.80 and 231,524.88 is: 319,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,850.28 : 569,687.80 = 231,524.88 : x
  2. Step 2: Convert to fraction form
    412,850.28/569,687.80 = 231,524.88/x
  3. Step 3: Cross multiply
    412,850.28x = 569,687.80 × 231,524.88
  4. Step 4: Simplify right side
    412,850.28x = 131,896,899,532.46
  5. Step 5: Solve for x
    x = 131,896,899,532.46/412,850.28
  6. Step 6: Final answer
    x = 319,478.77

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Why These Related Problems?

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