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Finding the Fourth Proportional to 454,940.80, 682,411.20 and 321,971.20

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Solution

The fourth proportional to 454,940.80, 682,411.20 and 321,971.20 is: 482,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,940.80 : 682,411.20 = 321,971.20 : x
  2. Step 2: Convert to fraction form
    454,940.80/682,411.20 = 321,971.20/x
  3. Step 3: Cross multiply
    454,940.80x = 682,411.20 × 321,971.20
  4. Step 4: Simplify right side
    454,940.80x = 219,716,752,957.44
  5. Step 5: Solve for x
    x = 219,716,752,957.44/454,940.80
  6. Step 6: Final answer
    x = 482,956.80

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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.