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Finding the Fourth Proportional to 416,436.42, 574,682.46 and 225,449.82

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Solution

The fourth proportional to 416,436.42, 574,682.46 and 225,449.82 is: 311,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,436.42 : 574,682.46 = 225,449.82 : x
  2. Step 2: Convert to fraction form
    416,436.42/574,682.46 = 225,449.82/x
  3. Step 3: Cross multiply
    416,436.42x = 574,682.46 × 225,449.82
  4. Step 4: Simplify right side
    416,436.42x = 129,562,057,164.16
  5. Step 5: Solve for x
    x = 129,562,057,164.16/416,436.42
  6. Step 6: Final answer
    x = 311,120.86

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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.