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Finding the Fourth Proportional to 304,324.11, 419,891.82 and 196,764.72

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Solution

The fourth proportional to 304,324.11, 419,891.82 and 196,764.72 is: 271,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,324.11 : 419,891.82 = 196,764.72 : x
  2. Step 2: Convert to fraction form
    304,324.11/419,891.82 = 196,764.72/x
  3. Step 3: Cross multiply
    304,324.11x = 419,891.82 × 196,764.72
  4. Step 4: Simplify right side
    304,324.11x = 82,619,896,392.59
  5. Step 5: Solve for x
    x = 82,619,896,392.59/304,324.11
  6. Step 6: Final answer
    x = 271,486.53

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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.