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Finding the Fourth Proportional to 599,322.14, 827,031.36 and 327,335.88

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Solution

The fourth proportional to 599,322.14, 827,031.36 and 327,335.88 is: 451,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,322.14 : 827,031.36 = 327,335.88 : x
  2. Step 2: Convert to fraction form
    599,322.14/827,031.36 = 327,335.88/x
  3. Step 3: Cross multiply
    599,322.14x = 827,031.36 × 327,335.88
  4. Step 4: Simplify right side
    599,322.14x = 270,717,042,342.07
  5. Step 5: Solve for x
    x = 270,717,042,342.07/599,322.14
  6. Step 6: Final answer
    x = 451,705.39

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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.