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Finding the Fourth Proportional to 361,791.74, 541,964.08 and 217,617.93

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Solution

The fourth proportional to 361,791.74, 541,964.08 and 217,617.93 is: 325,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,791.74 : 541,964.08 = 217,617.93 : x
  2. Step 2: Convert to fraction form
    361,791.74/541,964.08 = 217,617.93/x
  3. Step 3: Cross multiply
    361,791.74x = 541,964.08 × 217,617.93
  4. Step 4: Simplify right side
    361,791.74x = 117,941,101,223.95
  5. Step 5: Solve for x
    x = 117,941,101,223.95/361,791.74
  6. Step 6: Final answer
    x = 325,991.69

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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.