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Finding the Fourth Proportional to 400,171.71, 600,213.34 and 100,652.41

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Solution

The fourth proportional to 400,171.71, 600,213.34 and 100,652.41 is: 150,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,171.71 : 600,213.34 = 100,652.41 : x
  2. Step 2: Convert to fraction form
    400,171.71/600,213.34 = 100,652.41/x
  3. Step 3: Cross multiply
    400,171.71x = 600,213.34 × 100,652.41
  4. Step 4: Simplify right side
    400,171.71x = 60,412,916,685.03
  5. Step 5: Solve for x
    x = 60,412,916,685.03/400,171.71
  6. Step 6: Final answer
    x = 150,967.49

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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.