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Finding the Fourth Proportional to 288,227.20, 397,712.40 and 160,900

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Solution

The fourth proportional to 288,227.20, 397,712.40 and 160,900 is: 222,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,227.20 : 397,712.40 = 160,900 : x
  2. Step 2: Convert to fraction form
    288,227.20/397,712.40 = 160,900/x
  3. Step 3: Cross multiply
    288,227.20x = 397,712.40 × 160,900
  4. Step 4: Simplify right side
    288,227.20x = 63,991,925,160
  5. Step 5: Solve for x
    x = 63,991,925,160/288,227.20
  6. Step 6: Final answer
    x = 222,019.04

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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.