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Finding the Fourth Proportional to 217,796.18, 328,310.27 and 198,877.46

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Solution

The fourth proportional to 217,796.18, 328,310.27 and 198,877.46 is: 299,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,796.18 : 328,310.27 = 198,877.46 : x
  2. Step 2: Convert to fraction form
    217,796.18/328,310.27 = 198,877.46/x
  3. Step 3: Cross multiply
    217,796.18x = 328,310.27 × 198,877.46
  4. Step 4: Simplify right side
    217,796.18x = 65,293,512,589.51
  5. Step 5: Solve for x
    x = 65,293,512,589.51/217,796.18
  6. Step 6: Final answer
    x = 299,791.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.