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Finding the Fourth Proportional to 441,540, 662,408.72 and 161,057.24

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Solution

The fourth proportional to 441,540, 662,408.72 and 161,057.24 is: 241,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,540 : 662,408.72 = 161,057.24 : x
  2. Step 2: Convert to fraction form
    441,540/662,408.72 = 161,057.24/x
  3. Step 3: Cross multiply
    441,540x = 662,408.72 × 161,057.24
  4. Step 4: Simplify right side
    441,540x = 106,685,720,195.13
  5. Step 5: Solve for x
    x = 106,685,720,195.13/441,540
  6. Step 6: Final answer
    x = 241,621.87

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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.