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Finding the Fourth Proportional to 417,238.48, 625,906.59 and 132,829.42

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Solution

The fourth proportional to 417,238.48, 625,906.59 and 132,829.42 is: 199,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,238.48 : 625,906.59 = 132,829.42 : x
  2. Step 2: Convert to fraction form
    417,238.48/625,906.59 = 132,829.42/x
  3. Step 3: Cross multiply
    417,238.48x = 625,906.59 × 132,829.42
  4. Step 4: Simplify right side
    417,238.48x = 83,138,809,323.88
  5. Step 5: Solve for x
    x = 83,138,809,323.88/417,238.48
  6. Step 6: Final answer
    x = 199,259.69

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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.