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Finding the Fourth Proportional to 538,435.20, 806,961.60 and 327,849.60

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Solution

The fourth proportional to 538,435.20, 806,961.60 and 327,849.60 is: 491,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,435.20 : 806,961.60 = 327,849.60 : x
  2. Step 2: Convert to fraction form
    538,435.20/806,961.60 = 327,849.60/x
  3. Step 3: Cross multiply
    538,435.20x = 806,961.60 × 327,849.60
  4. Step 4: Simplify right side
    538,435.20x = 264,562,037,775.36
  5. Step 5: Solve for x
    x = 264,562,037,775.36/538,435.20
  6. Step 6: Final answer
    x = 491,353.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.