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Finding the Fourth Proportional to 334,533.67, 461,446.50 and 198,471.31

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Solution

The fourth proportional to 334,533.67, 461,446.50 and 198,471.31 is: 273,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,533.67 : 461,446.50 = 198,471.31 : x
  2. Step 2: Convert to fraction form
    334,533.67/461,446.50 = 198,471.31/x
  3. Step 3: Cross multiply
    334,533.67x = 461,446.50 × 198,471.31
  4. Step 4: Simplify right side
    334,533.67x = 91,583,891,349.92
  5. Step 5: Solve for x
    x = 91,583,891,349.92/334,533.67
  6. Step 6: Final answer
    x = 273,765.84

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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.