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Finding the Fourth Proportional to 412,474.28, 569,205.02 and 240,381.27

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Solution

The fourth proportional to 412,474.28, 569,205.02 and 240,381.27 is: 331,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,474.28 : 569,205.02 = 240,381.27 : x
  2. Step 2: Convert to fraction form
    412,474.28/569,205.02 = 240,381.27/x
  3. Step 3: Cross multiply
    412,474.28x = 569,205.02 × 240,381.27
  4. Step 4: Simplify right side
    412,474.28x = 136,826,226,198.93
  5. Step 5: Solve for x
    x = 136,826,226,198.93/412,474.28
  6. Step 6: Final answer
    x = 331,720.63

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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.