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Finding the Fourth Proportional to 416,414.88, 574,652.34 and 225,428.04

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Solution

The fourth proportional to 416,414.88, 574,652.34 and 225,428.04 is: 311,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,414.88 : 574,652.34 = 225,428.04 : x
  2. Step 2: Convert to fraction form
    416,414.88/574,652.34 = 225,428.04/x
  3. Step 3: Cross multiply
    416,414.88x = 574,652.34 × 225,428.04
  4. Step 4: Simplify right side
    416,414.88x = 129,542,750,687.61
  5. Step 5: Solve for x
    x = 129,542,750,687.61/416,414.88
  6. Step 6: Final answer
    x = 311,090.59

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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.