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Finding the Fourth Proportional to 299,844.68, 413,499.39 and 196,324.39

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Solution

The fourth proportional to 299,844.68, 413,499.39 and 196,324.39 is: 270,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,844.68 : 413,499.39 = 196,324.39 : x
  2. Step 2: Convert to fraction form
    299,844.68/413,499.39 = 196,324.39/x
  3. Step 3: Cross multiply
    299,844.68x = 413,499.39 × 196,324.39
  4. Step 4: Simplify right side
    299,844.68x = 81,180,015,287.78
  5. Step 5: Solve for x
    x = 81,180,015,287.78/299,844.68
  6. Step 6: Final answer
    x = 270,740.23

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1.5x scale

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.