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Finding the Fourth Proportional to 599,780.60, 827,697.24 and 327,849.56

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Solution

The fourth proportional to 599,780.60, 827,697.24 and 327,849.56 is: 452,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,780.60 : 827,697.24 = 327,849.56 : x
  2. Step 2: Convert to fraction form
    599,780.60/827,697.24 = 327,849.56/x
  3. Step 3: Cross multiply
    599,780.60x = 827,697.24 × 327,849.56
  4. Step 4: Simplify right side
    599,780.60x = 271,360,171,808.73
  5. Step 5: Solve for x
    x = 271,360,171,808.73/599,780.60
  6. Step 6: Final answer
    x = 452,432.40

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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.