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Finding the Fourth Proportional to 321,738.68, 444,020.38 and 185,778.36

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Solution

The fourth proportional to 321,738.68, 444,020.38 and 185,778.36 is: 256,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,738.68 : 444,020.38 = 185,778.36 : x
  2. Step 2: Convert to fraction form
    321,738.68/444,020.38 = 185,778.36/x
  3. Step 3: Cross multiply
    321,738.68x = 444,020.38 × 185,778.36
  4. Step 4: Simplify right side
    321,738.68x = 82,489,378,002.98
  5. Step 5: Solve for x
    x = 82,489,378,002.98/321,738.68
  6. Step 6: Final answer
    x = 256,386.26

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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.