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Finding the Fourth Proportional to 290,882.64, 436,324.56 and 80,521.20

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Solution

The fourth proportional to 290,882.64, 436,324.56 and 80,521.20 is: 120,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,882.64 : 436,324.56 = 80,521.20 : x
  2. Step 2: Convert to fraction form
    290,882.64/436,324.56 = 80,521.20/x
  3. Step 3: Cross multiply
    290,882.64x = 436,324.56 × 80,521.20
  4. Step 4: Simplify right side
    290,882.64x = 35,133,377,160.67
  5. Step 5: Solve for x
    x = 35,133,377,160.67/290,882.64
  6. Step 6: Final answer
    x = 120,781.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.