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Finding the Fourth Proportional to 304,287.22, 419,774.97 and 196,891.89

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Solution

The fourth proportional to 304,287.22, 419,774.97 and 196,891.89 is: 271,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,287.22 : 419,774.97 = 196,891.89 : x
  2. Step 2: Convert to fraction form
    304,287.22/419,774.97 = 196,891.89/x
  3. Step 3: Cross multiply
    304,287.22x = 419,774.97 × 196,891.89
  4. Step 4: Simplify right side
    304,287.22x = 82,650,287,217.99
  5. Step 5: Solve for x
    x = 82,650,287,217.99/304,287.22
  6. Step 6: Final answer
    x = 271,619.32

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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.