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Finding the Fourth Proportional to 682,829.10, 1,024,243.65 and 682,829.10

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Solution

The fourth proportional to 682,829.10, 1,024,243.65 and 682,829.10 is: 1,024,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,829.10 : 1,024,243.65 = 682,829.10 : x
  2. Step 2: Convert to fraction form
    682,829.10/1,024,243.65 = 682,829.10/x
  3. Step 3: Cross multiply
    682,829.10x = 1,024,243.65 × 682,829.10
  4. Step 4: Simplify right side
    682,829.10x = 699,383,369,710.22
  5. Step 5: Solve for x
    x = 699,383,369,710.22/682,829.10
  6. Step 6: Final answer
    x = 1,024,243.65

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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.