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Finding the Fourth Proportional to 275,713.48, 413,572.40 and 150,986.44

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Solution

The fourth proportional to 275,713.48, 413,572.40 and 150,986.44 is: 226,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,713.48 : 413,572.40 = 150,986.44 : x
  2. Step 2: Convert to fraction form
    275,713.48/413,572.40 = 150,986.44/x
  3. Step 3: Cross multiply
    275,713.48x = 413,572.40 × 150,986.44
  4. Step 4: Simplify right side
    275,713.48x = 62,443,824,358.26
  5. Step 5: Solve for x
    x = 62,443,824,358.26/275,713.48
  6. Step 6: Final answer
    x = 226,480.85

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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.