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Finding the Fourth Proportional to 599,278.50, 827,004.33 and 331,023.78

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Solution

The fourth proportional to 599,278.50, 827,004.33 and 331,023.78 is: 456,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,278.50 : 827,004.33 = 331,023.78 : x
  2. Step 2: Convert to fraction form
    599,278.50/827,004.33 = 331,023.78/x
  3. Step 3: Cross multiply
    599,278.50x = 827,004.33 × 331,023.78
  4. Step 4: Simplify right side
    599,278.50x = 273,758,099,392.97
  5. Step 5: Solve for x
    x = 273,758,099,392.97/599,278.50
  6. Step 6: Final answer
    x = 456,812.82

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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.