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Finding the Fourth Proportional to 416,419.80, 574,652.46 and 225,431.52

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Solution

The fourth proportional to 416,419.80, 574,652.46 and 225,431.52 is: 311,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,419.80 : 574,652.46 = 225,431.52 : x
  2. Step 2: Convert to fraction form
    416,419.80/574,652.46 = 225,431.52/x
  3. Step 3: Cross multiply
    416,419.80x = 574,652.46 × 225,431.52
  4. Step 4: Simplify right side
    416,419.80x = 129,544,777,529.54
  5. Step 5: Solve for x
    x = 129,544,777,529.54/416,419.80
  6. Step 6: Final answer
    x = 311,091.78

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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.