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Finding the Fourth Proportional to 288,537.38, 398,202.20 and 159,473.07

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Solution

The fourth proportional to 288,537.38, 398,202.20 and 159,473.07 is: 220,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,537.38 : 398,202.20 = 159,473.07 : x
  2. Step 2: Convert to fraction form
    288,537.38/398,202.20 = 159,473.07/x
  3. Step 3: Cross multiply
    288,537.38x = 398,202.20 × 159,473.07
  4. Step 4: Simplify right side
    288,537.38x = 63,502,526,517.39
  5. Step 5: Solve for x
    x = 63,502,526,517.39/288,537.38
  6. Step 6: Final answer
    x = 220,084.23

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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.