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Finding the Fourth Proportional to 416,449.25, 574,711.74 and 235,188.44

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Solution

The fourth proportional to 416,449.25, 574,711.74 and 235,188.44 is: 324,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,449.25 : 574,711.74 = 235,188.44 : x
  2. Step 2: Convert to fraction form
    416,449.25/574,711.74 = 235,188.44/x
  3. Step 3: Cross multiply
    416,449.25x = 574,711.74 × 235,188.44
  4. Step 4: Simplify right side
    416,449.25x = 135,165,554,706.73
  5. Step 5: Solve for x
    x = 135,165,554,706.73/416,449.25
  6. Step 6: Final answer
    x = 324,566.69

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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.