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Finding the Fourth Proportional to 361,825.46, 498,992.29 and 225,871.97

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Solution

The fourth proportional to 361,825.46, 498,992.29 and 225,871.97 is: 311,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,825.46 : 498,992.29 = 225,871.97 : x
  2. Step 2: Convert to fraction form
    361,825.46/498,992.29 = 225,871.97/x
  3. Step 3: Cross multiply
    361,825.46x = 498,992.29 × 225,871.97
  4. Step 4: Simplify right side
    361,825.46x = 112,708,368,497.47
  5. Step 5: Solve for x
    x = 112,708,368,497.47/361,825.46
  6. Step 6: Final answer
    x = 311,499.28

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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.