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Finding the Fourth Proportional to 321,198.52, 481,272.16 and 194,454.62

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Solution

The fourth proportional to 321,198.52, 481,272.16 and 194,454.62 is: 291,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,198.52 : 481,272.16 = 194,454.62 : x
  2. Step 2: Convert to fraction form
    321,198.52/481,272.16 = 194,454.62/x
  3. Step 3: Cross multiply
    321,198.52x = 481,272.16 × 194,454.62
  4. Step 4: Simplify right side
    321,198.52x = 93,585,594,989.38
  5. Step 5: Solve for x
    x = 93,585,594,989.38/321,198.52
  6. Step 6: Final answer
    x = 291,363.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.