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Finding the Fourth Proportional to 299,467.43, 413,274.09 and 170,424.41

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Solution

The fourth proportional to 299,467.43, 413,274.09 and 170,424.41 is: 235,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,467.43 : 413,274.09 = 170,424.41 : x
  2. Step 2: Convert to fraction form
    299,467.43/413,274.09 = 170,424.41/x
  3. Step 3: Cross multiply
    299,467.43x = 413,274.09 × 170,424.41
  4. Step 4: Simplify right side
    299,467.43x = 70,431,992,899.04
  5. Step 5: Solve for x
    x = 70,431,992,899.04/299,467.43
  6. Step 6: Final answer
    x = 235,190.83

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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.