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Finding the Fourth Proportional to 682,938.20, 1,024,407.30 and 647,946.20

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Solution

The fourth proportional to 682,938.20, 1,024,407.30 and 647,946.20 is: 971,919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,938.20 : 1,024,407.30 = 647,946.20 : x
  2. Step 2: Convert to fraction form
    682,938.20/1,024,407.30 = 647,946.20/x
  3. Step 3: Cross multiply
    682,938.20x = 1,024,407.30 × 647,946.20
  4. Step 4: Simplify right side
    682,938.20x = 663,760,817,287.26
  5. Step 5: Solve for x
    x = 663,760,817,287.26/682,938.20
  6. Step 6: Final answer
    x = 971,919.30

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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.