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Finding the Fourth Proportional to 304,296.34, 419,787.44 and 196,901.04

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Solution

The fourth proportional to 304,296.34, 419,787.44 and 196,901.04 is: 271,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,296.34 : 419,787.44 = 196,901.04 : x
  2. Step 2: Convert to fraction form
    304,296.34/419,787.44 = 196,901.04/x
  3. Step 3: Cross multiply
    304,296.34x = 419,787.44 × 196,901.04
  4. Step 4: Simplify right side
    304,296.34x = 82,656,583,514.94
  5. Step 5: Solve for x
    x = 82,656,583,514.94/304,296.34
  6. Step 6: Final answer
    x = 271,631.87

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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.