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Finding the Fourth Proportional to 361,227.82, 498,735.48 and 225,316.30

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Solution

The fourth proportional to 361,227.82, 498,735.48 and 225,316.30 is: 311,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,227.82 : 498,735.48 = 225,316.30 : x
  2. Step 2: Convert to fraction form
    361,227.82/498,735.48 = 225,316.30/x
  3. Step 3: Cross multiply
    361,227.82x = 498,735.48 × 225,316.30
  4. Step 4: Simplify right side
    361,227.82x = 112,373,233,032.32
  5. Step 5: Solve for x
    x = 112,373,233,032.32/361,227.82
  6. Step 6: Final answer
    x = 311,086.87

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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.