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Finding the Fourth Proportional to 416,578.90, 574,876.02 and 225,587.92

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Solution

The fourth proportional to 416,578.90, 574,876.02 and 225,587.92 is: 311,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,578.90 : 574,876.02 = 225,587.92 : x
  2. Step 2: Convert to fraction form
    416,578.90/574,876.02 = 225,587.92/x
  3. Step 3: Cross multiply
    416,578.90x = 574,876.02 × 225,587.92
  4. Step 4: Simplify right side
    416,578.90x = 129,685,085,609.68
  5. Step 5: Solve for x
    x = 129,685,085,609.68/416,578.90
  6. Step 6: Final answer
    x = 311,309.78

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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.