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Finding the Fourth Proportional to 682,941.20, 1,024,411.80 and 647,949.20

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Solution

The fourth proportional to 682,941.20, 1,024,411.80 and 647,949.20 is: 971,923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,941.20 : 1,024,411.80 = 647,949.20 : x
  2. Step 2: Convert to fraction form
    682,941.20/1,024,411.80 = 647,949.20/x
  3. Step 3: Cross multiply
    682,941.20x = 1,024,411.80 × 647,949.20
  4. Step 4: Simplify right side
    682,941.20x = 663,766,806,280.56
  5. Step 5: Solve for x
    x = 663,766,806,280.56/682,941.20
  6. Step 6: Final answer
    x = 971,923.80

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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.