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Finding the Fourth Proportional to 321,855.20, 444,057.44 and 185,871.19

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Solution

The fourth proportional to 321,855.20, 444,057.44 and 185,871.19 is: 256,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,855.20 : 444,057.44 = 185,871.19 : x
  2. Step 2: Convert to fraction form
    321,855.20/444,057.44 = 185,871.19/x
  3. Step 3: Cross multiply
    321,855.20x = 444,057.44 × 185,871.19
  4. Step 4: Simplify right side
    321,855.20x = 82,537,482,761.65
  5. Step 5: Solve for x
    x = 82,537,482,761.65/321,855.20
  6. Step 6: Final answer
    x = 256,442.90

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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.