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Finding the Fourth Proportional to 599,806.86, 827,733.24 and 327,875.80

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Solution

The fourth proportional to 599,806.86, 827,733.24 and 327,875.80 is: 452,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,806.86 : 827,733.24 = 327,875.80 : x
  2. Step 2: Convert to fraction form
    599,806.86/827,733.24 = 327,875.80/x
  3. Step 3: Cross multiply
    599,806.86x = 827,733.24 × 327,875.80
  4. Step 4: Simplify right side
    599,806.86x = 271,393,698,251.59
  5. Step 5: Solve for x
    x = 271,393,698,251.59/599,806.86
  6. Step 6: Final answer
    x = 452,468.48

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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.