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Finding the Fourth Proportional to 599,295.96, 827,195.22 and 344,729.16

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Solution

The fourth proportional to 599,295.96, 827,195.22 and 344,729.16 is: 475,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,295.96 : 827,195.22 = 344,729.16 : x
  2. Step 2: Convert to fraction form
    599,295.96/827,195.22 = 344,729.16/x
  3. Step 3: Cross multiply
    599,295.96x = 827,195.22 × 344,729.16
  4. Step 4: Simplify right side
    599,295.96x = 285,158,313,346.62
  5. Step 5: Solve for x
    x = 285,158,313,346.62/599,295.96
  6. Step 6: Final answer
    x = 475,822.19

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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.