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Finding the Fourth Proportional to 376,451.42, 519,503.90 and 206,696.48

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Solution

The fourth proportional to 376,451.42, 519,503.90 and 206,696.48 is: 285,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,451.42 : 519,503.90 = 206,696.48 : x
  2. Step 2: Convert to fraction form
    376,451.42/519,503.90 = 206,696.48/x
  3. Step 3: Cross multiply
    376,451.42x = 519,503.90 × 206,696.48
  4. Step 4: Simplify right side
    376,451.42x = 107,379,623,845.27
  5. Step 5: Solve for x
    x = 107,379,623,845.27/376,451.42
  6. Step 6: Final answer
    x = 285,241.65

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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.