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Finding the Fourth Proportional to 599,460.06, 827,245.10 and 327,522.11

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Solution

The fourth proportional to 599,460.06, 827,245.10 and 327,522.11 is: 451,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,460.06 : 827,245.10 = 327,522.11 : x
  2. Step 2: Convert to fraction form
    599,460.06/827,245.10 = 327,522.11/x
  3. Step 3: Cross multiply
    599,460.06x = 827,245.10 × 327,522.11
  4. Step 4: Simplify right side
    599,460.06x = 270,941,057,321.74
  5. Step 5: Solve for x
    x = 270,941,057,321.74/599,460.06
  6. Step 6: Final answer
    x = 451,975.16

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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.