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Finding the Fourth Proportional to 416,581.12, 574,882.50 and 225,594.82

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Solution

The fourth proportional to 416,581.12, 574,882.50 and 225,594.82 is: 311,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,581.12 : 574,882.50 = 225,594.82 : x
  2. Step 2: Convert to fraction form
    416,581.12/574,882.50 = 225,594.82/x
  3. Step 3: Cross multiply
    416,581.12x = 574,882.50 × 225,594.82
  4. Step 4: Simplify right side
    416,581.12x = 129,690,514,108.65
  5. Step 5: Solve for x
    x = 129,690,514,108.65/416,581.12
  6. Step 6: Final answer
    x = 311,321.15

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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.