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Finding the Fourth Proportional to 822,906.30, 1,234,359.45 and 682,938.30

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Solution

The fourth proportional to 822,906.30, 1,234,359.45 and 682,938.30 is: 1,024,407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,906.30 : 1,234,359.45 = 682,938.30 : x
  2. Step 2: Convert to fraction form
    822,906.30/1,234,359.45 = 682,938.30/x
  3. Step 3: Cross multiply
    822,906.30x = 1,234,359.45 × 682,938.30
  4. Step 4: Simplify right side
    822,906.30x = 842,991,344,371.94
  5. Step 5: Solve for x
    x = 842,991,344,371.94/822,906.30
  6. Step 6: Final answer
    x = 1,024,407.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.