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Finding the Fourth Proportional to 297,736.67, 410,880.35 and 161,772.90

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Solution

The fourth proportional to 297,736.67, 410,880.35 and 161,772.90 is: 223,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,736.67 : 410,880.35 = 161,772.90 : x
  2. Step 2: Convert to fraction form
    297,736.67/410,880.35 = 161,772.90/x
  3. Step 3: Cross multiply
    297,736.67x = 410,880.35 × 161,772.90
  4. Step 4: Simplify right side
    297,736.67x = 66,469,304,963.65
  5. Step 5: Solve for x
    x = 66,469,304,963.65/297,736.67
  6. Step 6: Final answer
    x = 223,248.64

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Why These Related Problems?

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