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Finding the Fourth Proportional to 458,436.93, 687,923.10 and 192,176.97

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Solution

The fourth proportional to 458,436.93, 687,923.10 and 192,176.97 is: 288,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,436.93 : 687,923.10 = 192,176.97 : x
  2. Step 2: Convert to fraction form
    458,436.93/687,923.10 = 192,176.97/x
  3. Step 3: Cross multiply
    458,436.93x = 687,923.10 × 192,176.97
  4. Step 4: Simplify right side
    458,436.93x = 132,202,976,951.01
  5. Step 5: Solve for x
    x = 132,202,976,951.01/458,436.93
  6. Step 6: Final answer
    x = 288,377.68

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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.