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Finding the Fourth Proportional to 273,896.20, 410,844.30 and 198,663.40

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Solution

The fourth proportional to 273,896.20, 410,844.30 and 198,663.40 is: 297,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,896.20 : 410,844.30 = 198,663.40 : x
  2. Step 2: Convert to fraction form
    273,896.20/410,844.30 = 198,663.40/x
  3. Step 3: Cross multiply
    273,896.20x = 410,844.30 × 198,663.40
  4. Step 4: Simplify right side
    273,896.20x = 81,619,725,508.62
  5. Step 5: Solve for x
    x = 81,619,725,508.62/273,896.20
  6. Step 6: Final answer
    x = 297,995.10

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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.