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Finding the Fourth Proportional to 397,352.87, 548,212.77 and 225,252.38

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Solution

The fourth proportional to 397,352.87, 548,212.77 and 225,252.38 is: 310,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,352.87 : 548,212.77 = 225,252.38 : x
  2. Step 2: Convert to fraction form
    397,352.87/548,212.77 = 225,252.38/x
  3. Step 3: Cross multiply
    397,352.87x = 548,212.77 × 225,252.38
  4. Step 4: Simplify right side
    397,352.87x = 123,486,231,714.73
  5. Step 5: Solve for x
    x = 123,486,231,714.73/397,352.87
  6. Step 6: Final answer
    x = 310,772.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.