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Finding the Fourth Proportional to 416,288.54, 574,479.87 and 225,301.88

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Solution

The fourth proportional to 416,288.54, 574,479.87 and 225,301.88 is: 310,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,288.54 : 574,479.87 = 225,301.88 : x
  2. Step 2: Convert to fraction form
    416,288.54/574,479.87 = 225,301.88/x
  3. Step 3: Cross multiply
    416,288.54x = 574,479.87 × 225,301.88
  4. Step 4: Simplify right side
    416,288.54x = 129,431,394,733.16
  5. Step 5: Solve for x
    x = 129,431,394,733.16/416,288.54
  6. Step 6: Final answer
    x = 310,917.51

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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.