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Finding the Fourth Proportional to 416,234.49, 574,405.03 and 225,247.83

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Solution

The fourth proportional to 416,234.49, 574,405.03 and 225,247.83 is: 310,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,234.49 : 574,405.03 = 225,247.83 : x
  2. Step 2: Convert to fraction form
    416,234.49/574,405.03 = 225,247.83/x
  3. Step 3: Cross multiply
    416,234.49x = 574,405.03 × 225,247.83
  4. Step 4: Simplify right side
    416,234.49x = 129,383,486,548.59
  5. Step 5: Solve for x
    x = 129,383,486,548.59/416,234.49
  6. Step 6: Final answer
    x = 310,842.78

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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.