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Finding the Fourth Proportional to 682,844.10, 1,024,266.15 and 682,844.10

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Solution

The fourth proportional to 682,844.10, 1,024,266.15 and 682,844.10 is: 1,024,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,844.10 : 1,024,266.15 = 682,844.10 : x
  2. Step 2: Convert to fraction form
    682,844.10/1,024,266.15 = 682,844.10/x
  3. Step 3: Cross multiply
    682,844.10x = 1,024,266.15 × 682,844.10
  4. Step 4: Simplify right side
    682,844.10x = 699,414,097,357.22
  5. Step 5: Solve for x
    x = 699,414,097,357.22/682,844.10
  6. Step 6: Final answer
    x = 1,024,266.15

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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.