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Finding the Fourth Proportional to 376,119.25, 519,053.69 and 206,353.38

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Solution

The fourth proportional to 376,119.25, 519,053.69 and 206,353.38 is: 284,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,119.25 : 519,053.69 = 206,353.38 : x
  2. Step 2: Convert to fraction form
    376,119.25/519,053.69 = 206,353.38/x
  3. Step 3: Cross multiply
    376,119.25x = 519,053.69 × 206,353.38
  4. Step 4: Simplify right side
    376,119.25x = 107,108,483,332.97
  5. Step 5: Solve for x
    x = 107,108,483,332.97/376,119.25
  6. Step 6: Final answer
    x = 284,772.67

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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.