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Finding the Fourth Proportional to 417,231.98, 625,896.84 and 132,822.90

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Solution

The fourth proportional to 417,231.98, 625,896.84 and 132,822.90 is: 199,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,231.98 : 625,896.84 = 132,822.90 : x
  2. Step 2: Convert to fraction form
    417,231.98/625,896.84 = 132,822.90/x
  3. Step 3: Cross multiply
    417,231.98x = 625,896.84 × 132,822.90
  4. Step 4: Simplify right side
    417,231.98x = 83,133,433,389.64
  5. Step 5: Solve for x
    x = 83,133,433,389.64/417,231.98
  6. Step 6: Final answer
    x = 199,249.91

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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.