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Finding the Fourth Proportional to 599,793.24, 827,714.64 and 327,862.28

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Solution

The fourth proportional to 599,793.24, 827,714.64 and 327,862.28 is: 452,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,793.24 : 827,714.64 = 327,862.28 : x
  2. Step 2: Convert to fraction form
    599,793.24/827,714.64 = 327,862.28/x
  3. Step 3: Cross multiply
    599,793.24x = 827,714.64 × 327,862.28
  4. Step 4: Simplify right side
    599,793.24x = 271,376,409,059.78
  5. Step 5: Solve for x
    x = 271,376,409,059.78/599,793.24
  6. Step 6: Final answer
    x = 452,449.93

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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.