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Finding the Fourth Proportional to 419,414.97, 628,882.56 and 194,659.68

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Solution

The fourth proportional to 419,414.97, 628,882.56 and 194,659.68 is: 291,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,414.97 : 628,882.56 = 194,659.68 : x
  2. Step 2: Convert to fraction form
    419,414.97/628,882.56 = 194,659.68/x
  3. Step 3: Cross multiply
    419,414.97x = 628,882.56 × 194,659.68
  4. Step 4: Simplify right side
    419,414.97x = 122,418,077,887.18
  5. Step 5: Solve for x
    x = 122,418,077,887.18/419,414.97
  6. Step 6: Final answer
    x = 291,878.18

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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.