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Finding the Fourth Proportional to 376,150.73, 519,097.56 and 206,384.81

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Solution

The fourth proportional to 376,150.73, 519,097.56 and 206,384.81 is: 284,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,150.73 : 519,097.56 = 206,384.81 : x
  2. Step 2: Convert to fraction form
    376,150.73/519,097.56 = 206,384.81/x
  3. Step 3: Cross multiply
    376,150.73x = 519,097.56 × 206,384.81
  4. Step 4: Simplify right side
    376,150.73x = 107,133,851,292.06
  5. Step 5: Solve for x
    x = 107,133,851,292.06/376,150.73
  6. Step 6: Final answer
    x = 284,816.28

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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.