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Finding the Fourth Proportional to 358,418.78, 494,617.89 and 195,076.46

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Solution

The fourth proportional to 358,418.78, 494,617.89 and 195,076.46 is: 269,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,418.78 : 494,617.89 = 195,076.46 : x
  2. Step 2: Convert to fraction form
    358,418.78/494,617.89 = 195,076.46/x
  3. Step 3: Cross multiply
    358,418.78x = 494,617.89 × 195,076.46
  4. Step 4: Simplify right side
    358,418.78x = 96,488,304,073.09
  5. Step 5: Solve for x
    x = 96,488,304,073.09/358,418.78
  6. Step 6: Final answer
    x = 269,205.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.