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Finding the Fourth Proportional to 599,665.14, 827,528.13 and 327,729.78

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Solution

The fourth proportional to 599,665.14, 827,528.13 and 327,729.78 is: 452,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,665.14 : 827,528.13 = 327,729.78 : x
  2. Step 2: Convert to fraction form
    599,665.14/827,528.13 = 327,729.78/x
  3. Step 3: Cross multiply
    599,665.14x = 827,528.13 × 327,729.78
  4. Step 4: Simplify right side
    599,665.14x = 271,205,611,988.71
  5. Step 5: Solve for x
    x = 271,205,611,988.71/599,665.14
  6. Step 6: Final answer
    x = 452,261.76

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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.