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Finding the Fourth Proportional to 384,057.60, 576,086.40 and 345,350.40

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Solution

The fourth proportional to 384,057.60, 576,086.40 and 345,350.40 is: 518,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,057.60 : 576,086.40 = 345,350.40 : x
  2. Step 2: Convert to fraction form
    384,057.60/576,086.40 = 345,350.40/x
  3. Step 3: Cross multiply
    384,057.60x = 576,086.40 × 345,350.40
  4. Step 4: Simplify right side
    384,057.60x = 198,951,668,674.56
  5. Step 5: Solve for x
    x = 198,951,668,674.56/384,057.60
  6. Step 6: Final answer
    x = 518,025.60

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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.