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Finding the Fourth Proportional to 509,621.20, 764,431.80 and 454,508.80

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Solution

The fourth proportional to 509,621.20, 764,431.80 and 454,508.80 is: 681,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,621.20 : 764,431.80 = 454,508.80 : x
  2. Step 2: Convert to fraction form
    509,621.20/764,431.80 = 454,508.80/x
  3. Step 3: Cross multiply
    509,621.20x = 764,431.80 × 454,508.80
  4. Step 4: Simplify right side
    509,621.20x = 347,440,980,099.84
  5. Step 5: Solve for x
    x = 347,440,980,099.84/509,621.20
  6. Step 6: Final answer
    x = 681,763.20

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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.