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Finding the Fourth Proportional to 287,796.20, 431,694.30 and 161,306.60

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Solution

The fourth proportional to 287,796.20, 431,694.30 and 161,306.60 is: 241,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,796.20 : 431,694.30 = 161,306.60 : x
  2. Step 2: Convert to fraction form
    287,796.20/431,694.30 = 161,306.60/x
  3. Step 3: Cross multiply
    287,796.20x = 431,694.30 × 161,306.60
  4. Step 4: Simplify right side
    287,796.20x = 69,635,139,772.38
  5. Step 5: Solve for x
    x = 69,635,139,772.38/287,796.20
  6. Step 6: Final answer
    x = 241,959.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.