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Finding the Fourth Proportional to 362,014.91, 499,451.38 and 225,997.21

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Solution

The fourth proportional to 362,014.91, 499,451.38 and 225,997.21 is: 311,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,014.91 : 499,451.38 = 225,997.21 : x
  2. Step 2: Convert to fraction form
    362,014.91/499,451.38 = 225,997.21/x
  3. Step 3: Cross multiply
    362,014.91x = 499,451.38 × 225,997.21
  4. Step 4: Simplify right side
    362,014.91x = 112,874,618,410.65
  5. Step 5: Solve for x
    x = 112,874,618,410.65/362,014.91
  6. Step 6: Final answer
    x = 311,795.50

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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.