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Finding the Fourth Proportional to 599,825.22, 827,758.68 and 327,894.24

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Solution

The fourth proportional to 599,825.22, 827,758.68 and 327,894.24 is: 452,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,825.22 : 827,758.68 = 327,894.24 : x
  2. Step 2: Convert to fraction form
    599,825.22/827,758.68 = 327,894.24/x
  3. Step 3: Cross multiply
    599,825.22x = 827,758.68 × 327,894.24
  4. Step 4: Simplify right side
    599,825.22x = 271,417,305,156.50
  5. Step 5: Solve for x
    x = 271,417,305,156.50/599,825.22
  6. Step 6: Final answer
    x = 452,493.99

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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.