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Finding the Fourth Proportional to 468,033.82, 701,414.56 and 197,937.44

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Solution

The fourth proportional to 468,033.82, 701,414.56 and 197,937.44 is: 296,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,033.82 : 701,414.56 = 197,937.44 : x
  2. Step 2: Convert to fraction form
    468,033.82/701,414.56 = 197,937.44/x
  3. Step 3: Cross multiply
    468,033.82x = 701,414.56 × 197,937.44
  4. Step 4: Simplify right side
    468,033.82x = 138,836,202,385.13
  5. Step 5: Solve for x
    x = 138,836,202,385.13/468,033.82
  6. Step 6: Final answer
    x = 296,637.12

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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.