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Finding the Fourth Proportional to 417,224.82, 625,629.93 and 132,878.27

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Solution

The fourth proportional to 417,224.82, 625,629.93 and 132,878.27 is: 199,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,224.82 : 625,629.93 = 132,878.27 : x
  2. Step 2: Convert to fraction form
    417,224.82/625,629.93 = 132,878.27/x
  3. Step 3: Cross multiply
    417,224.82x = 625,629.93 × 132,878.27
  4. Step 4: Simplify right side
    417,224.82x = 83,132,623,824.40
  5. Step 5: Solve for x
    x = 83,132,623,824.40/417,224.82
  6. Step 6: Final answer
    x = 199,251.38

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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.