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Finding the Fourth Proportional to 376,593.56, 519,709.80 and 206,838.68

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Solution

The fourth proportional to 376,593.56, 519,709.80 and 206,838.68 is: 285,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,593.56 : 519,709.80 = 206,838.68 : x
  2. Step 2: Convert to fraction form
    376,593.56/519,709.80 = 206,838.68/x
  3. Step 3: Cross multiply
    376,593.56x = 519,709.80 × 206,838.68
  4. Step 4: Simplify right side
    376,593.56x = 107,496,089,015.06
  5. Step 5: Solve for x
    x = 107,496,089,015.06/376,593.56
  6. Step 6: Final answer
    x = 285,443.25

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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.