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Finding the Fourth Proportional to 441,612.98, 662,517.20 and 161,129.42

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Solution

The fourth proportional to 441,612.98, 662,517.20 and 161,129.42 is: 241,729.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,612.98 : 662,517.20 = 161,129.42 : x
  2. Step 2: Convert to fraction form
    441,612.98/662,517.20 = 161,129.42/x
  3. Step 3: Cross multiply
    441,612.98x = 662,517.20 × 161,129.42
  4. Step 4: Simplify right side
    441,612.98x = 106,751,009,266.26
  5. Step 5: Solve for x
    x = 106,751,009,266.26/441,612.98
  6. Step 6: Final answer
    x = 241,729.78

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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.