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Finding the Fourth Proportional to 645,150.30, 966,850.65 and 431,310.30

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Solution

The fourth proportional to 645,150.30, 966,850.65 and 431,310.30 is: 646,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,150.30 : 966,850.65 = 431,310.30 : x
  2. Step 2: Convert to fraction form
    645,150.30/966,850.65 = 431,310.30/x
  3. Step 3: Cross multiply
    645,150.30x = 966,850.65 × 431,310.30
  4. Step 4: Simplify right side
    645,150.30x = 417,012,643,906.70
  5. Step 5: Solve for x
    x = 417,012,643,906.70/645,150.30
  6. Step 6: Final answer
    x = 646,380.61

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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.