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Finding the Fourth Proportional to 683,105.84, 942,682.44 and 396,696.32

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Solution

The fourth proportional to 683,105.84, 942,682.44 and 396,696.32 is: 547,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,105.84 : 942,682.44 = 396,696.32 : x
  2. Step 2: Convert to fraction form
    683,105.84/942,682.44 = 396,696.32/x
  3. Step 3: Cross multiply
    683,105.84x = 942,682.44 × 396,696.32
  4. Step 4: Simplify right side
    683,105.84x = 373,958,654,876.62
  5. Step 5: Solve for x
    x = 373,958,654,876.62/683,105.84
  6. Step 6: Final answer
    x = 547,438.82

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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.