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Finding the Fourth Proportional to 599,458.59, 827,243.20 and 327,520.64

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Solution

The fourth proportional to 599,458.59, 827,243.20 and 327,520.64 is: 451,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,458.59 : 827,243.20 = 327,520.64 : x
  2. Step 2: Convert to fraction form
    599,458.59/827,243.20 = 327,520.64/x
  3. Step 3: Cross multiply
    599,458.59x = 827,243.20 × 327,520.64
  4. Step 4: Simplify right side
    599,458.59x = 270,939,220,662.05
  5. Step 5: Solve for x
    x = 270,939,220,662.05/599,458.59
  6. Step 6: Final answer
    x = 451,973.21

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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.