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Finding the Fourth Proportional to 397,797, 548,959.86 and 218,949

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Solution

The fourth proportional to 397,797, 548,959.86 and 218,949 is: 302,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,797 : 548,959.86 = 218,949 : x
  2. Step 2: Convert to fraction form
    397,797/548,959.86 = 218,949/x
  3. Step 3: Cross multiply
    397,797x = 548,959.86 × 218,949
  4. Step 4: Simplify right side
    397,797x = 120,194,212,387.14
  5. Step 5: Solve for x
    x = 120,194,212,387.14/397,797
  6. Step 6: Final answer
    x = 302,149.62

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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.