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Finding the Fourth Proportional to 275,721.52, 413,584.44 and 150,994.48

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Solution

The fourth proportional to 275,721.52, 413,584.44 and 150,994.48 is: 226,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.52 : 413,584.44 = 150,994.48 : x
  2. Step 2: Convert to fraction form
    275,721.52/413,584.44 = 150,994.48/x
  3. Step 3: Cross multiply
    275,721.52x = 413,584.44 × 150,994.48
  4. Step 4: Simplify right side
    275,721.52x = 62,448,967,453.89
  5. Step 5: Solve for x
    x = 62,448,967,453.89/275,721.52
  6. Step 6: Final answer
    x = 226,492.90

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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.