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Finding the Fourth Proportional to 724,122.48, 1,085,769 and 682,374

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Solution

The fourth proportional to 724,122.48, 1,085,769 and 682,374 is: 1,023,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,122.48 : 1,085,769 = 682,374 : x
  2. Step 2: Convert to fraction form
    724,122.48/1,085,769 = 682,374/x
  3. Step 3: Cross multiply
    724,122.48x = 1,085,769 × 682,374
  4. Step 4: Simplify right side
    724,122.48x = 740,900,535,606
  5. Step 5: Solve for x
    x = 740,900,535,606/724,122.48
  6. Step 6: Final answer
    x = 1,023,170.19

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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.