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Finding the Fourth Proportional to 416,436.12, 574,682.09 and 225,449.60

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Solution

The fourth proportional to 416,436.12, 574,682.09 and 225,449.60 is: 311,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,436.12 : 574,682.09 = 225,449.60 : x
  2. Step 2: Convert to fraction form
    416,436.12/574,682.09 = 225,449.60/x
  3. Step 3: Cross multiply
    416,436.12x = 574,682.09 × 225,449.60
  4. Step 4: Simplify right side
    416,436.12x = 129,561,843,317.01
  5. Step 5: Solve for x
    x = 129,561,843,317.01/416,436.12
  6. Step 6: Final answer
    x = 311,120.57

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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.