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Finding the Fourth Proportional to 382,227.29, 573,344.42 and 115,987.82

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Solution

The fourth proportional to 382,227.29, 573,344.42 and 115,987.82 is: 173,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,227.29 : 573,344.42 = 115,987.82 : x
  2. Step 2: Convert to fraction form
    382,227.29/573,344.42 = 115,987.82/x
  3. Step 3: Cross multiply
    382,227.29x = 573,344.42 × 115,987.82
  4. Step 4: Simplify right side
    382,227.29x = 66,500,968,088.34
  5. Step 5: Solve for x
    x = 66,500,968,088.34/382,227.29
  6. Step 6: Final answer
    x = 173,982.78

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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.