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Finding the Fourth Proportional to 321,909.36, 444,256.14 and 185,949.03

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Solution

The fourth proportional to 321,909.36, 444,256.14 and 185,949.03 is: 256,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,909.36 : 444,256.14 = 185,949.03 : x
  2. Step 2: Convert to fraction form
    321,909.36/444,256.14 = 185,949.03/x
  3. Step 3: Cross multiply
    321,909.36x = 444,256.14 × 185,949.03
  4. Step 4: Simplify right side
    321,909.36x = 82,608,998,304.54
  5. Step 5: Solve for x
    x = 82,608,998,304.54/321,909.36
  6. Step 6: Final answer
    x = 256,621.92

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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.