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Finding the Fourth Proportional to 416,540.32, 574,828.40 and 225,553.70

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Solution

The fourth proportional to 416,540.32, 574,828.40 and 225,553.70 is: 311,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,540.32 : 574,828.40 = 225,553.70 : x
  2. Step 2: Convert to fraction form
    416,540.32/574,828.40 = 225,553.70/x
  3. Step 3: Cross multiply
    416,540.32x = 574,828.40 × 225,553.70
  4. Step 4: Simplify right side
    416,540.32x = 129,654,672,794.38
  5. Step 5: Solve for x
    x = 129,654,672,794.38/416,540.32
  6. Step 6: Final answer
    x = 311,265.60

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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.