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Finding the Fourth Proportional to 441,581.84, 661,912.68 and 204,729.20

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Solution

The fourth proportional to 441,581.84, 661,912.68 and 204,729.20 is: 306,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,581.84 : 661,912.68 = 204,729.20 : x
  2. Step 2: Convert to fraction form
    441,581.84/661,912.68 = 204,729.20/x
  3. Step 3: Cross multiply
    441,581.84x = 661,912.68 × 204,729.20
  4. Step 4: Simplify right side
    441,581.84x = 135,512,853,446.26
  5. Step 5: Solve for x
    x = 135,512,853,446.26/441,581.84
  6. Step 6: Final answer
    x = 306,880.49

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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.