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Finding the Fourth Proportional to 416,651.28, 574,978.26 and 225,665.46

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Solution

The fourth proportional to 416,651.28, 574,978.26 and 225,665.46 is: 311,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,651.28 : 574,978.26 = 225,665.46 : x
  2. Step 2: Convert to fraction form
    416,651.28/574,978.26 = 225,665.46/x
  3. Step 3: Cross multiply
    416,651.28x = 574,978.26 × 225,665.46
  4. Step 4: Simplify right side
    416,651.28x = 129,752,733,532.90
  5. Step 5: Solve for x
    x = 129,752,733,532.90/416,651.28
  6. Step 6: Final answer
    x = 311,418.06

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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.