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Finding the Fourth Proportional to 376,552.24, 519,645.76 and 206,790

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Solution

The fourth proportional to 376,552.24, 519,645.76 and 206,790 is: 285,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,552.24 : 519,645.76 = 206,790 : x
  2. Step 2: Convert to fraction form
    376,552.24/519,645.76 = 206,790/x
  3. Step 3: Cross multiply
    376,552.24x = 519,645.76 × 206,790
  4. Step 4: Simplify right side
    376,552.24x = 107,457,546,710.40
  5. Step 5: Solve for x
    x = 107,457,546,710.40/376,552.24
  6. Step 6: Final answer
    x = 285,372.21

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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.