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Finding the Fourth Proportional to 322,257.65, 444,728.16 and 220,496.54

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Solution

The fourth proportional to 322,257.65, 444,728.16 and 220,496.54 is: 304,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,257.65 : 444,728.16 = 220,496.54 : x
  2. Step 2: Convert to fraction form
    322,257.65/444,728.16 = 220,496.54/x
  3. Step 3: Cross multiply
    322,257.65x = 444,728.16 × 220,496.54
  4. Step 4: Simplify right side
    322,257.65x = 98,061,018,296.93
  5. Step 5: Solve for x
    x = 98,061,018,296.93/322,257.65
  6. Step 6: Final answer
    x = 304,293.85

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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.