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Finding the Fourth Proportional to 701,696, 968,363.52 and 383,744

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Solution

The fourth proportional to 701,696, 968,363.52 and 383,744 is: 529,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,696 : 968,363.52 = 383,744 : x
  2. Step 2: Convert to fraction form
    701,696/968,363.52 = 383,744/x
  3. Step 3: Cross multiply
    701,696x = 968,363.52 × 383,744
  4. Step 4: Simplify right side
    701,696x = 371,603,690,618.88
  5. Step 5: Solve for x
    x = 371,603,690,618.88/701,696
  6. Step 6: Final answer
    x = 529,579.32

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