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Finding the Fourth Proportional to 416,227.57, 574,394.04 and 225,240.96

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Solution

The fourth proportional to 416,227.57, 574,394.04 and 225,240.96 is: 310,832.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,227.57 : 574,394.04 = 225,240.96 : x
  2. Step 2: Convert to fraction form
    416,227.57/574,394.04 = 225,240.96/x
  3. Step 3: Cross multiply
    416,227.57x = 574,394.04 × 225,240.96
  4. Step 4: Simplify right side
    416,227.57x = 129,377,064,987.88
  5. Step 5: Solve for x
    x = 129,377,064,987.88/416,227.57
  6. Step 6: Final answer
    x = 310,832.52

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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.