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Finding the Fourth Proportional to 382,227.44, 573,410.37 and 157,462.97

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Solution

The fourth proportional to 382,227.44, 573,410.37 and 157,462.97 is: 236,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,227.44 : 573,410.37 = 157,462.97 : x
  2. Step 2: Convert to fraction form
    382,227.44/573,410.37 = 157,462.97/x
  3. Step 3: Cross multiply
    382,227.44x = 573,410.37 × 157,462.97
  4. Step 4: Simplify right side
    382,227.44x = 90,290,897,021.95
  5. Step 5: Solve for x
    x = 90,290,897,021.95/382,227.44
  6. Step 6: Final answer
    x = 236,222.96

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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.