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Finding the Fourth Proportional to 416,249.88, 574,425.86 and 225,264.66

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Solution

The fourth proportional to 416,249.88, 574,425.86 and 225,264.66 is: 310,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,249.88 : 574,425.86 = 225,264.66 : x
  2. Step 2: Convert to fraction form
    416,249.88/574,425.86 = 225,264.66/x
  3. Step 3: Cross multiply
    416,249.88x = 574,425.86 × 225,264.66
  4. Step 4: Simplify right side
    416,249.88x = 129,397,844,921.78
  5. Step 5: Solve for x
    x = 129,397,844,921.78/416,249.88
  6. Step 6: Final answer
    x = 310,865.78

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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.