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Finding the Fourth Proportional to 599,461.54, 827,247.15 and 327,523.59

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Solution

The fourth proportional to 599,461.54, 827,247.15 and 327,523.59 is: 451,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,461.54 : 827,247.15 = 327,523.59 : x
  2. Step 2: Convert to fraction form
    599,461.54/827,247.15 = 327,523.59/x
  3. Step 3: Cross multiply
    599,461.54x = 827,247.15 × 327,523.59
  4. Step 4: Simplify right side
    599,461.54x = 270,942,956,385.27
  5. Step 5: Solve for x
    x = 270,942,956,385.27/599,461.54
  6. Step 6: Final answer
    x = 451,977.21

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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.