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Finding the Fourth Proportional to 599,367, 827,150.22 and 344,717.88

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Solution

The fourth proportional to 599,367, 827,150.22 and 344,717.88 is: 475,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,367 : 827,150.22 = 344,717.88 : x
  2. Step 2: Convert to fraction form
    599,367/827,150.22 = 344,717.88/x
  3. Step 3: Cross multiply
    599,367x = 827,150.22 × 344,717.88
  4. Step 4: Simplify right side
    599,367x = 285,133,470,279.93
  5. Step 5: Solve for x
    x = 285,133,470,279.93/599,367
  6. Step 6: Final answer
    x = 475,724.34

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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.