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Finding the Fourth Proportional to 321,812.47, 444,187.38 and 200,880.96

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Solution

The fourth proportional to 321,812.47, 444,187.38 and 200,880.96 is: 277,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,812.47 : 444,187.38 = 200,880.96 : x
  2. Step 2: Convert to fraction form
    321,812.47/444,187.38 = 200,880.96/x
  3. Step 3: Cross multiply
    321,812.47x = 444,187.38 × 200,880.96
  4. Step 4: Simplify right side
    321,812.47x = 89,228,787,314.28
  5. Step 5: Solve for x
    x = 89,228,787,314.28/321,812.47
  6. Step 6: Final answer
    x = 277,269.51

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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.