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Finding the Fourth Proportional to 361,530.56, 498,912.18 and 200,409.86

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Solution

The fourth proportional to 361,530.56, 498,912.18 and 200,409.86 is: 276,565.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,530.56 : 498,912.18 = 200,409.86 : x
  2. Step 2: Convert to fraction form
    361,530.56/498,912.18 = 200,409.86/x
  3. Step 3: Cross multiply
    361,530.56x = 498,912.18 × 200,409.86
  4. Step 4: Simplify right side
    361,530.56x = 99,986,920,146.09
  5. Step 5: Solve for x
    x = 99,986,920,146.09/361,530.56
  6. Step 6: Final answer
    x = 276,565.61

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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.