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Finding the Fourth Proportional to 321,769.67, 444,106.76 and 185,825.75

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Solution

The fourth proportional to 321,769.67, 444,106.76 and 185,825.75 is: 256,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,769.67 : 444,106.76 = 185,825.75 : x
  2. Step 2: Convert to fraction form
    321,769.67/444,106.76 = 185,825.75/x
  3. Step 3: Cross multiply
    321,769.67x = 444,106.76 × 185,825.75
  4. Step 4: Simplify right side
    321,769.67x = 82,526,468,607.41
  5. Step 5: Solve for x
    x = 82,526,468,607.41/321,769.67
  6. Step 6: Final answer
    x = 256,476.85

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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.