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Finding the Fourth Proportional to 417,716.94, 625,732.62 and 192,764.82

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Solution

The fourth proportional to 417,716.94, 625,732.62 and 192,764.82 is: 288,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,716.94 : 625,732.62 = 192,764.82 : x
  2. Step 2: Convert to fraction form
    417,716.94/625,732.62 = 192,764.82/x
  3. Step 3: Cross multiply
    417,716.94x = 625,732.62 × 192,764.82
  4. Step 4: Simplify right side
    417,716.94x = 120,619,235,862.43
  5. Step 5: Solve for x
    x = 120,619,235,862.43/417,716.94
  6. Step 6: Final answer
    x = 288,758.31

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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.