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Finding the Fourth Proportional to 463,229.80, 694,844.70 and 164,048.20

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Solution

The fourth proportional to 463,229.80, 694,844.70 and 164,048.20 is: 246,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,229.80 : 694,844.70 = 164,048.20 : x
  2. Step 2: Convert to fraction form
    463,229.80/694,844.70 = 164,048.20/x
  3. Step 3: Cross multiply
    463,229.80x = 694,844.70 × 164,048.20
  4. Step 4: Simplify right side
    463,229.80x = 113,988,022,314.54
  5. Step 5: Solve for x
    x = 113,988,022,314.54/463,229.80
  6. Step 6: Final answer
    x = 246,072.30

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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.