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Finding the Fourth Proportional to 412,269.46, 618,010.52 and 131,604.46

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Solution

The fourth proportional to 412,269.46, 618,010.52 and 131,604.46 is: 197,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,269.46 : 618,010.52 = 131,604.46 : x
  2. Step 2: Convert to fraction form
    412,269.46/618,010.52 = 131,604.46/x
  3. Step 3: Cross multiply
    412,269.46x = 618,010.52 × 131,604.46
  4. Step 4: Simplify right side
    412,269.46x = 81,332,940,758.92
  5. Step 5: Solve for x
    x = 81,332,940,758.92/412,269.46
  6. Step 6: Final answer
    x = 197,281.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.