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Finding the Fourth Proportional to 376,201.92, 519,165 and 206,451.84

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Solution

The fourth proportional to 376,201.92, 519,165 and 206,451.84 is: 284,907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,201.92 : 519,165 = 206,451.84 : x
  2. Step 2: Convert to fraction form
    376,201.92/519,165 = 206,451.84/x
  3. Step 3: Cross multiply
    376,201.92x = 519,165 × 206,451.84
  4. Step 4: Simplify right side
    376,201.92x = 107,182,569,513.60
  5. Step 5: Solve for x
    x = 107,182,569,513.60/376,201.92
  6. Step 6: Final answer
    x = 284,907.02

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1.5x scale

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.