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Finding the Fourth Proportional to 519,691.75, 717,174.66 and 293,351.83

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Solution

The fourth proportional to 519,691.75, 717,174.66 and 293,351.83 is: 404,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,691.75 : 717,174.66 = 293,351.83 : x
  2. Step 2: Convert to fraction form
    519,691.75/717,174.66 = 293,351.83/x
  3. Step 3: Cross multiply
    519,691.75x = 717,174.66 × 293,351.83
  4. Step 4: Simplify right side
    519,691.75x = 210,384,498,940.63
  5. Step 5: Solve for x
    x = 210,384,498,940.63/519,691.75
  6. Step 6: Final answer
    x = 404,825.55

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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.