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Finding the Fourth Proportional to 376,199.92, 519,162.24 and 206,449.84

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Solution

The fourth proportional to 376,199.92, 519,162.24 and 206,449.84 is: 284,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,199.92 : 519,162.24 = 206,449.84 : x
  2. Step 2: Convert to fraction form
    376,199.92/519,162.24 = 206,449.84/x
  3. Step 3: Cross multiply
    376,199.92x = 519,162.24 × 206,449.84
  4. Step 4: Simplify right side
    376,199.92x = 107,180,961,382.04
  5. Step 5: Solve for x
    x = 107,180,961,382.04/376,199.92
  6. Step 6: Final answer
    x = 284,904.26

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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.