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Finding the Fourth Proportional to 416,584.27, 574,884.84 and 225,598.15

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Solution

The fourth proportional to 416,584.27, 574,884.84 and 225,598.15 is: 311,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,584.27 : 574,884.84 = 225,598.15 : x
  2. Step 2: Convert to fraction form
    416,584.27/574,884.84 = 225,598.15/x
  3. Step 3: Cross multiply
    416,584.27x = 574,884.84 × 225,598.15
  4. Step 4: Simplify right side
    416,584.27x = 129,692,956,367.05
  5. Step 5: Solve for x
    x = 129,692,956,367.05/416,584.27
  6. Step 6: Final answer
    x = 311,324.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.