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Finding the Fourth Proportional to 323,844.48, 446,959.62 and 196,604.82

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Solution

The fourth proportional to 323,844.48, 446,959.62 and 196,604.82 is: 271,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,844.48 : 446,959.62 = 196,604.82 : x
  2. Step 2: Convert to fraction form
    323,844.48/446,959.62 = 196,604.82/x
  3. Step 3: Cross multiply
    323,844.48x = 446,959.62 × 196,604.82
  4. Step 4: Simplify right side
    323,844.48x = 87,874,415,637.37
  5. Step 5: Solve for x
    x = 87,874,415,637.37/323,844.48
  6. Step 6: Final answer
    x = 271,347.58

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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.