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Finding the Fourth Proportional to 361,238.82, 498,750.66 and 225,327.30

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Solution

The fourth proportional to 361,238.82, 498,750.66 and 225,327.30 is: 311,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,238.82 : 498,750.66 = 225,327.30 : x
  2. Step 2: Convert to fraction form
    361,238.82/498,750.66 = 225,327.30/x
  3. Step 3: Cross multiply
    361,238.82x = 498,750.66 × 225,327.30
  4. Step 4: Simplify right side
    361,238.82x = 112,382,139,591.02
  5. Step 5: Solve for x
    x = 112,382,139,591.02/361,238.82
  6. Step 6: Final answer
    x = 311,102.06

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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.