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Finding the Fourth Proportional to 509,361.68, 764,195.30 and 205,599.53

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Solution

The fourth proportional to 509,361.68, 764,195.30 and 205,599.53 is: 308,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,361.68 : 764,195.30 = 205,599.53 : x
  2. Step 2: Convert to fraction form
    509,361.68/764,195.30 = 205,599.53/x
  3. Step 3: Cross multiply
    509,361.68x = 764,195.30 × 205,599.53
  4. Step 4: Simplify right side
    509,361.68x = 157,118,194,508.21
  5. Step 5: Solve for x
    x = 157,118,194,508.21/509,361.68
  6. Step 6: Final answer
    x = 308,460.96

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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.