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Finding the Fourth Proportional to 376,795.43, 519,983.58 and 204,716.80

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Solution

The fourth proportional to 376,795.43, 519,983.58 and 204,716.80 is: 282,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,795.43 : 519,983.58 = 204,716.80 : x
  2. Step 2: Convert to fraction form
    376,795.43/519,983.58 = 204,716.80/x
  3. Step 3: Cross multiply
    376,795.43x = 519,983.58 × 204,716.80
  4. Step 4: Simplify right side
    376,795.43x = 106,449,375,967.81
  5. Step 5: Solve for x
    x = 106,449,375,967.81/376,795.43
  6. Step 6: Final answer
    x = 282,512.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.