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Finding the Fourth Proportional to 297,491.04, 410,393.52 and 196,973.28

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Solution

The fourth proportional to 297,491.04, 410,393.52 and 196,973.28 is: 271,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,491.04 : 410,393.52 = 196,973.28 : x
  2. Step 2: Convert to fraction form
    297,491.04/410,393.52 = 196,973.28/x
  3. Step 3: Cross multiply
    297,491.04x = 410,393.52 × 196,973.28
  4. Step 4: Simplify right side
    297,491.04x = 80,836,557,725.15
  5. Step 5: Solve for x
    x = 80,836,557,725.15/297,491.04
  6. Step 6: Final answer
    x = 271,727.71

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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.