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Finding the Fourth Proportional to 304,906.53, 420,753.40 and 168,932.42

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Solution

The fourth proportional to 304,906.53, 420,753.40 and 168,932.42 is: 233,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,906.53 : 420,753.40 = 168,932.42 : x
  2. Step 2: Convert to fraction form
    304,906.53/420,753.40 = 168,932.42/x
  3. Step 3: Cross multiply
    304,906.53x = 420,753.40 × 168,932.42
  4. Step 4: Simplify right side
    304,906.53x = 71,078,891,149.57
  5. Step 5: Solve for x
    x = 71,078,891,149.57/304,906.53
  6. Step 6: Final answer
    x = 233,116.99

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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.