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Finding the Fourth Proportional to 417,711.63, 625,724.73 and 192,759.57

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Solution

The fourth proportional to 417,711.63, 625,724.73 and 192,759.57 is: 288,750.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,711.63 : 625,724.73 = 192,759.57 : x
  2. Step 2: Convert to fraction form
    417,711.63/625,724.73 = 192,759.57/x
  3. Step 3: Cross multiply
    417,711.63x = 625,724.73 × 192,759.57
  4. Step 4: Simplify right side
    417,711.63x = 120,614,429,893.17
  5. Step 5: Solve for x
    x = 120,614,429,893.17/417,711.63
  6. Step 6: Final answer
    x = 288,750.47

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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.