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Finding the Fourth Proportional to 321,454.80, 443,618.10 and 178,228.14

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Solution

The fourth proportional to 321,454.80, 443,618.10 and 178,228.14 is: 245,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,454.80 : 443,618.10 = 178,228.14 : x
  2. Step 2: Convert to fraction form
    321,454.80/443,618.10 = 178,228.14/x
  3. Step 3: Cross multiply
    321,454.80x = 443,618.10 × 178,228.14
  4. Step 4: Simplify right side
    321,454.80x = 79,065,228,833.33
  5. Step 5: Solve for x
    x = 79,065,228,833.33/321,454.80
  6. Step 6: Final answer
    x = 245,960.64

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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.