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Finding the Fourth Proportional to 382,211.97, 573,401.25 and 115,993.32

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Solution

The fourth proportional to 382,211.97, 573,401.25 and 115,993.32 is: 174,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,211.97 : 573,401.25 = 115,993.32 : x
  2. Step 2: Convert to fraction form
    382,211.97/573,401.25 = 115,993.32/x
  3. Step 3: Cross multiply
    382,211.97x = 573,401.25 × 115,993.32
  4. Step 4: Simplify right side
    382,211.97x = 66,510,714,679.65
  5. Step 5: Solve for x
    x = 66,510,714,679.65/382,211.97
  6. Step 6: Final answer
    x = 174,015.26

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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.