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Finding the Fourth Proportional to 392,599.68, 541,803.84 and 222,849.60

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Solution

The fourth proportional to 392,599.68, 541,803.84 and 222,849.60 is: 307,541.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,599.68 : 541,803.84 = 222,849.60 : x
  2. Step 2: Convert to fraction form
    392,599.68/541,803.84 = 222,849.60/x
  3. Step 3: Cross multiply
    392,599.68x = 541,803.84 × 222,849.60
  4. Step 4: Simplify right side
    392,599.68x = 120,740,769,022.46
  5. Step 5: Solve for x
    x = 120,740,769,022.46/392,599.68
  6. Step 6: Final answer
    x = 307,541.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.