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Finding the Fourth Proportional to 682,757.97, 942,205.41 and 380,951.97

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Solution

The fourth proportional to 682,757.97, 942,205.41 and 380,951.97 is: 525,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,757.97 : 942,205.41 = 380,951.97 : x
  2. Step 2: Convert to fraction form
    682,757.97/942,205.41 = 380,951.97/x
  3. Step 3: Cross multiply
    682,757.97x = 942,205.41 × 380,951.97
  4. Step 4: Simplify right side
    682,757.97x = 358,935,007,084.16
  5. Step 5: Solve for x
    x = 358,935,007,084.16/682,757.97
  6. Step 6: Final answer
    x = 525,713.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.