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Finding the Fourth Proportional to 327,845.84, 491,599.56 and 150,200.60

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Solution

The fourth proportional to 327,845.84, 491,599.56 and 150,200.60 is: 225,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,845.84 : 491,599.56 = 150,200.60 : x
  2. Step 2: Convert to fraction form
    327,845.84/491,599.56 = 150,200.60/x
  3. Step 3: Cross multiply
    327,845.84x = 491,599.56 × 150,200.60
  4. Step 4: Simplify right side
    327,845.84x = 73,838,548,871.74
  5. Step 5: Solve for x
    x = 73,838,548,871.74/327,845.84
  6. Step 6: Final answer
    x = 225,223.38

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