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Finding the Fourth Proportional to 416,771.92, 625,157.85 and 192,065.87

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Solution

The fourth proportional to 416,771.92, 625,157.85 and 192,065.87 is: 288,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,771.92 : 625,157.85 = 192,065.87 : x
  2. Step 2: Convert to fraction form
    416,771.92/625,157.85 = 192,065.87/x
  3. Step 3: Cross multiply
    416,771.92x = 625,157.85 × 192,065.87
  4. Step 4: Simplify right side
    416,771.92x = 120,071,486,347.58
  5. Step 5: Solve for x
    x = 120,071,486,347.58/416,771.92
  6. Step 6: Final answer
    x = 288,098.79

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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.