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Finding the Fourth Proportional to 329,806.20, 493,233.06 and 276,662.10

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Solution

The fourth proportional to 329,806.20, 493,233.06 and 276,662.10 is: 413,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,806.20 : 493,233.06 = 276,662.10 : x
  2. Step 2: Convert to fraction form
    329,806.20/493,233.06 = 276,662.10/x
  3. Step 3: Cross multiply
    329,806.20x = 493,233.06 × 276,662.10
  4. Step 4: Simplify right side
    329,806.20x = 136,458,894,169.03
  5. Step 5: Solve for x
    x = 136,458,894,169.03/329,806.20
  6. Step 6: Final answer
    x = 413,754.79

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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.