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Finding the Fourth Proportional to 416,201.46, 574,359.53 and 225,214.85

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Solution

The fourth proportional to 416,201.46, 574,359.53 and 225,214.85 is: 310,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,201.46 : 574,359.53 = 225,214.85 : x
  2. Step 2: Convert to fraction form
    416,201.46/574,359.53 = 225,214.85/x
  3. Step 3: Cross multiply
    416,201.46x = 574,359.53 × 225,214.85
  4. Step 4: Simplify right side
    416,201.46x = 129,354,291,397.15
  5. Step 5: Solve for x
    x = 129,354,291,397.15/416,201.46
  6. Step 6: Final answer
    x = 310,797.30

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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.