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Finding the Fourth Proportional to 397,694.25, 548,727.14 and 225,571.07

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Solution

The fourth proportional to 397,694.25, 548,727.14 and 225,571.07 is: 311,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,694.25 : 548,727.14 = 225,571.07 : x
  2. Step 2: Convert to fraction form
    397,694.25/548,727.14 = 225,571.07/x
  3. Step 3: Cross multiply
    397,694.25x = 548,727.14 × 225,571.07
  4. Step 4: Simplify right side
    397,694.25x = 123,776,970,043.59
  5. Step 5: Solve for x
    x = 123,776,970,043.59/397,694.25
  6. Step 6: Final answer
    x = 311,236.51

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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.