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Finding the Fourth Proportional to 376,238.25, 519,208.80 and 206,472.39

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Solution

The fourth proportional to 376,238.25, 519,208.80 and 206,472.39 is: 284,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,238.25 : 519,208.80 = 206,472.39 : x
  2. Step 2: Convert to fraction form
    376,238.25/519,208.80 = 206,472.39/x
  3. Step 3: Cross multiply
    376,238.25x = 519,208.80 × 206,472.39
  4. Step 4: Simplify right side
    376,238.25x = 107,202,281,845.03
  5. Step 5: Solve for x
    x = 107,202,281,845.03/376,238.25
  6. Step 6: Final answer
    x = 284,931.91

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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.