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Finding the Fourth Proportional to 287,630.38, 396,943.44 and 160,306.88

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Solution

The fourth proportional to 287,630.38, 396,943.44 and 160,306.88 is: 221,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,630.38 : 396,943.44 = 160,306.88 : x
  2. Step 2: Convert to fraction form
    287,630.38/396,943.44 = 160,306.88/x
  3. Step 3: Cross multiply
    287,630.38x = 396,943.44 × 160,306.88
  4. Step 4: Simplify right side
    287,630.38x = 63,632,764,402.87
  5. Step 5: Solve for x
    x = 63,632,764,402.87/287,630.38
  6. Step 6: Final answer
    x = 221,231.03

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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.