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Finding the Fourth Proportional to 412,386.57, 618,506.78 and 187,694.73

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Solution

The fourth proportional to 412,386.57, 618,506.78 and 187,694.73 is: 281,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,386.57 : 618,506.78 = 187,694.73 : x
  2. Step 2: Convert to fraction form
    412,386.57/618,506.78 = 187,694.73/x
  3. Step 3: Cross multiply
    412,386.57x = 618,506.78 × 187,694.73
  4. Step 4: Simplify right side
    412,386.57x = 116,090,462,136.80
  5. Step 5: Solve for x
    x = 116,090,462,136.80/412,386.57
  6. Step 6: Final answer
    x = 281,508.83

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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.