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Finding the Fourth Proportional to 416,994.75, 625,497.62 and 136,512

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Solution

The fourth proportional to 416,994.75, 625,497.62 and 136,512 is: 204,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,994.75 : 625,497.62 = 136,512 : x
  2. Step 2: Convert to fraction form
    416,994.75/625,497.62 = 136,512/x
  3. Step 3: Cross multiply
    416,994.75x = 625,497.62 × 136,512
  4. Step 4: Simplify right side
    416,994.75x = 85,387,930,418.88
  5. Step 5: Solve for x
    x = 85,387,930,418.88/416,994.75
  6. Step 6: Final answer
    x = 204,769.80

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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.