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Finding the Fourth Proportional to 599,521.97, 827,315.64 and 327,599.20

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Solution

The fourth proportional to 599,521.97, 827,315.64 and 327,599.20 is: 452,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,521.97 : 827,315.64 = 327,599.20 : x
  2. Step 2: Convert to fraction form
    599,521.97/827,315.64 = 327,599.20/x
  3. Step 3: Cross multiply
    599,521.97x = 827,315.64 × 327,599.20
  4. Step 4: Simplify right side
    599,521.97x = 271,027,941,811.49
  5. Step 5: Solve for x
    x = 271,027,941,811.49/599,521.97
  6. Step 6: Final answer
    x = 452,073.41

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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.