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Finding the Fourth Proportional to 424,724.70, 637,198.14 and 158,487.54

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Solution

The fourth proportional to 424,724.70, 637,198.14 and 158,487.54 is: 237,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,724.70 : 637,198.14 = 158,487.54 : x
  2. Step 2: Convert to fraction form
    424,724.70/637,198.14 = 158,487.54/x
  3. Step 3: Cross multiply
    424,724.70x = 637,198.14 × 158,487.54
  4. Step 4: Simplify right side
    424,724.70x = 100,987,965,701.18
  5. Step 5: Solve for x
    x = 100,987,965,701.18/424,724.70
  6. Step 6: Final answer
    x = 237,772.76

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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.