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Finding the Fourth Proportional to 595,992, 822,468.96 and 327,720

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Solution

The fourth proportional to 595,992, 822,468.96 and 327,720 is: 452,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,992 : 822,468.96 = 327,720 : x
  2. Step 2: Convert to fraction form
    595,992/822,468.96 = 327,720/x
  3. Step 3: Cross multiply
    595,992x = 822,468.96 × 327,720
  4. Step 4: Simplify right side
    595,992x = 269,539,527,571.20
  5. Step 5: Solve for x
    x = 269,539,527,571.20/595,992
  6. Step 6: Final answer
    x = 452,253.60

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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.