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Finding the Fourth Proportional to 299,845.80, 413,500.94 and 196,325.52

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Solution

The fourth proportional to 299,845.80, 413,500.94 and 196,325.52 is: 270,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,845.80 : 413,500.94 = 196,325.52 : x
  2. Step 2: Convert to fraction form
    299,845.80/413,500.94 = 196,325.52/x
  3. Step 3: Cross multiply
    299,845.80x = 413,500.94 × 196,325.52
  4. Step 4: Simplify right side
    299,845.80x = 81,180,785,269.95
  5. Step 5: Solve for x
    x = 81,180,785,269.95/299,845.80
  6. Step 6: Final answer
    x = 270,741.78

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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.