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Finding the Fourth Proportional to 416,570.56, 574,867.68 and 225,584.16

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Solution

The fourth proportional to 416,570.56, 574,867.68 and 225,584.16 is: 311,306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.56 : 574,867.68 = 225,584.16 : x
  2. Step 2: Convert to fraction form
    416,570.56/574,867.68 = 225,584.16/x
  3. Step 3: Cross multiply
    416,570.56x = 574,867.68 × 225,584.16
  4. Step 4: Simplify right side
    416,570.56x = 129,681,042,703.95
  5. Step 5: Solve for x
    x = 129,681,042,703.95/416,570.56
  6. Step 6: Final answer
    x = 311,306.31

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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.