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Finding the Fourth Proportional to 306,057.60, 459,086.40 and 271,940.40

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Solution

The fourth proportional to 306,057.60, 459,086.40 and 271,940.40 is: 407,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,057.60 : 459,086.40 = 271,940.40 : x
  2. Step 2: Convert to fraction form
    306,057.60/459,086.40 = 271,940.40/x
  3. Step 3: Cross multiply
    306,057.60x = 459,086.40 × 271,940.40
  4. Step 4: Simplify right side
    306,057.60x = 124,844,139,250.56
  5. Step 5: Solve for x
    x = 124,844,139,250.56/306,057.60
  6. Step 6: Final answer
    x = 407,910.60

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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.