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Finding the Fourth Proportional to 417,107.04, 625,816.92 and 192,575.04

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Solution

The fourth proportional to 417,107.04, 625,816.92 and 192,575.04 is: 288,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,107.04 : 625,816.92 = 192,575.04 : x
  2. Step 2: Convert to fraction form
    417,107.04/625,816.92 = 192,575.04/x
  3. Step 3: Cross multiply
    417,107.04x = 625,816.92 × 192,575.04
  4. Step 4: Simplify right side
    417,107.04x = 120,516,718,401.68
  5. Step 5: Solve for x
    x = 120,516,718,401.68/417,107.04
  6. Step 6: Final answer
    x = 288,934.75

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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.