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Finding the Fourth Proportional to 275,722.70, 413,584.05 and 181,244.30

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Solution

The fourth proportional to 275,722.70, 413,584.05 and 181,244.30 is: 271,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,722.70 : 413,584.05 = 181,244.30 : x
  2. Step 2: Convert to fraction form
    275,722.70/413,584.05 = 181,244.30/x
  3. Step 3: Cross multiply
    275,722.70x = 413,584.05 × 181,244.30
  4. Step 4: Simplify right side
    275,722.70x = 74,959,751,633.42
  5. Step 5: Solve for x
    x = 74,959,751,633.42/275,722.70
  6. Step 6: Final answer
    x = 271,866.45

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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.