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Finding the Fourth Proportional to 382,230.31, 573,348.92 and 115,990.82

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Solution

The fourth proportional to 382,230.31, 573,348.92 and 115,990.82 is: 173,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,230.31 : 573,348.92 = 115,990.82 : x
  2. Step 2: Convert to fraction form
    382,230.31/573,348.92 = 115,990.82/x
  3. Step 3: Cross multiply
    382,230.31x = 573,348.92 × 115,990.82
  4. Step 4: Simplify right side
    382,230.31x = 66,503,210,080.27
  5. Step 5: Solve for x
    x = 66,503,210,080.27/382,230.31
  6. Step 6: Final answer
    x = 173,987.28

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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.