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Finding the Fourth Proportional to 599,454.72, 827,237.86 and 327,516.77

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Solution

The fourth proportional to 599,454.72, 827,237.86 and 327,516.77 is: 451,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,454.72 : 827,237.86 = 327,516.77 : x
  2. Step 2: Convert to fraction form
    599,454.72/827,237.86 = 327,516.77/x
  3. Step 3: Cross multiply
    599,454.72x = 827,237.86 × 327,516.77
  4. Step 4: Simplify right side
    599,454.72x = 270,934,271,110.12
  5. Step 5: Solve for x
    x = 270,934,271,110.12/599,454.72
  6. Step 6: Final answer
    x = 451,967.87

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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.