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Finding the Fourth Proportional to 416,456.10, 574,708.68 and 225,469.44

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Solution

The fourth proportional to 416,456.10, 574,708.68 and 225,469.44 is: 311,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,456.10 : 574,708.68 = 225,469.44 : x
  2. Step 2: Convert to fraction form
    416,456.10/574,708.68 = 225,469.44/x
  3. Step 3: Cross multiply
    416,456.10x = 574,708.68 × 225,469.44
  4. Step 4: Simplify right side
    416,456.10x = 129,579,244,242.74
  5. Step 5: Solve for x
    x = 129,579,244,242.74/416,456.10
  6. Step 6: Final answer
    x = 311,147.43

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1.5x scale

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.