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Finding the Fourth Proportional to 339,029.71, 467,744.83 and 193,731.10

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Solution

The fourth proportional to 339,029.71, 467,744.83 and 193,731.10 is: 267,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,029.71 : 467,744.83 = 193,731.10 : x
  2. Step 2: Convert to fraction form
    339,029.71/467,744.83 = 193,731.10/x
  3. Step 3: Cross multiply
    339,029.71x = 467,744.83 × 193,731.10
  4. Step 4: Simplify right side
    339,029.71x = 90,616,718,781.52
  5. Step 5: Solve for x
    x = 90,616,718,781.52/339,029.71
  6. Step 6: Final answer
    x = 267,282.53

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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.