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Finding the Fourth Proportional to 416,234.18, 574,404.78 and 225,247.64

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Solution

The fourth proportional to 416,234.18, 574,404.78 and 225,247.64 is: 310,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,234.18 : 574,404.78 = 225,247.64 : x
  2. Step 2: Convert to fraction form
    416,234.18/574,404.78 = 225,247.64/x
  3. Step 3: Cross multiply
    416,234.18x = 574,404.78 × 225,247.64
  4. Step 4: Simplify right side
    416,234.18x = 129,383,321,099.72
  5. Step 5: Solve for x
    x = 129,383,321,099.72/416,234.18
  6. Step 6: Final answer
    x = 310,842.62

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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.