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Finding the Fourth Proportional to 417,243.83, 625,914.68 and 132,834.80

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Solution

The fourth proportional to 417,243.83, 625,914.68 and 132,834.80 is: 199,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,243.83 : 625,914.68 = 132,834.80 : x
  2. Step 2: Convert to fraction form
    417,243.83/625,914.68 = 132,834.80/x
  3. Step 3: Cross multiply
    417,243.83x = 625,914.68 × 132,834.80
  4. Step 4: Simplify right side
    417,243.83x = 83,143,252,235.48
  5. Step 5: Solve for x
    x = 83,143,252,235.48/417,243.83
  6. Step 6: Final answer
    x = 199,267.78

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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.