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Finding the Fourth Proportional to 361,330.82, 498,596.22 and 200,145.92

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Solution

The fourth proportional to 361,330.82, 498,596.22 and 200,145.92 is: 276,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,330.82 : 498,596.22 = 200,145.92 : x
  2. Step 2: Convert to fraction form
    361,330.82/498,596.22 = 200,145.92/x
  3. Step 3: Cross multiply
    361,330.82x = 498,596.22 × 200,145.92
  4. Step 4: Simplify right side
    361,330.82x = 99,791,999,160.42
  5. Step 5: Solve for x
    x = 99,791,999,160.42/361,330.82
  6. Step 6: Final answer
    x = 276,179.04

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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.