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Finding the Fourth Proportional to 275,505.80, 412,470.30 and 169,611.80

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Solution

The fourth proportional to 275,505.80, 412,470.30 and 169,611.80 is: 253,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,505.80 : 412,470.30 = 169,611.80 : x
  2. Step 2: Convert to fraction form
    275,505.80/412,470.30 = 169,611.80/x
  3. Step 3: Cross multiply
    275,505.80x = 412,470.30 × 169,611.80
  4. Step 4: Simplify right side
    275,505.80x = 69,959,830,029.54
  5. Step 5: Solve for x
    x = 69,959,830,029.54/275,505.80
  6. Step 6: Final answer
    x = 253,932.33

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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.