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Finding the Fourth Proportional to 1,410,817.53, 1,946,942.46 and 766,250.31

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Solution

The fourth proportional to 1,410,817.53, 1,946,942.46 and 766,250.31 is: 1,057,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,817.53 : 1,946,942.46 = 766,250.31 : x
  2. Step 2: Convert to fraction form
    1,410,817.53/1,946,942.46 = 766,250.31/x
  3. Step 3: Cross multiply
    1,410,817.53x = 1,946,942.46 × 766,250.31
  4. Step 4: Simplify right side
    1,410,817.53x = 1,491,845,263,527.16
  5. Step 5: Solve for x
    x = 1,491,845,263,527.16/1,410,817.53
  6. Step 6: Final answer
    x = 1,057,433.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.