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Finding the Fourth Proportional to 599,292, 827,025.76 and 327,363.66

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Solution

The fourth proportional to 599,292, 827,025.76 and 327,363.66 is: 451,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,292 : 827,025.76 = 327,363.66 : x
  2. Step 2: Convert to fraction form
    599,292/827,025.76 = 327,363.66/x
  3. Step 3: Cross multiply
    599,292x = 827,025.76 × 327,363.66
  4. Step 4: Simplify right side
    599,292x = 270,738,179,707.88
  5. Step 5: Solve for x
    x = 270,738,179,707.88/599,292
  6. Step 6: Final answer
    x = 451,763.38

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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.