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Finding the Fourth Proportional to 412,632.74, 618,951.25 and 187,835.97

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Solution

The fourth proportional to 412,632.74, 618,951.25 and 187,835.97 is: 281,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,632.74 : 618,951.25 = 187,835.97 : x
  2. Step 2: Convert to fraction form
    412,632.74/618,951.25 = 187,835.97/x
  3. Step 3: Cross multiply
    412,632.74x = 618,951.25 × 187,835.97
  4. Step 4: Simplify right side
    412,632.74x = 116,261,304,703.35
  5. Step 5: Solve for x
    x = 116,261,304,703.35/412,632.74
  6. Step 6: Final answer
    x = 281,754.92

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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.