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Finding the Fourth Proportional to 416,234.75, 574,404.41 and 225,248.15

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Solution

The fourth proportional to 416,234.75, 574,404.41 and 225,248.15 is: 310,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,234.75 : 574,404.41 = 225,248.15 : x
  2. Step 2: Convert to fraction form
    416,234.75/574,404.41 = 225,248.15/x
  3. Step 3: Cross multiply
    416,234.75x = 574,404.41 × 225,248.15
  4. Step 4: Simplify right side
    416,234.75x = 129,383,532,703.47
  5. Step 5: Solve for x
    x = 129,383,532,703.47/416,234.75
  6. Step 6: Final answer
    x = 310,842.70

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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.