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Finding the Fourth Proportional to 599,417.82, 827,233.56 and 344,763.54

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Solution

The fourth proportional to 599,417.82, 827,233.56 and 344,763.54 is: 475,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,417.82 : 827,233.56 = 344,763.54 : x
  2. Step 2: Convert to fraction form
    599,417.82/827,233.56 = 344,763.54/x
  3. Step 3: Cross multiply
    599,417.82x = 827,233.56 × 344,763.54
  4. Step 4: Simplify right side
    599,417.82x = 285,199,970,552.40
  5. Step 5: Solve for x
    x = 285,199,970,552.40/599,417.82
  6. Step 6: Final answer
    x = 475,794.95

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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.