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Finding the Fourth Proportional to 327,037, 490,710.94 and 149,530.36

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Solution

The fourth proportional to 327,037, 490,710.94 and 149,530.36 is: 224,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,037 : 490,710.94 = 149,530.36 : x
  2. Step 2: Convert to fraction form
    327,037/490,710.94 = 149,530.36/x
  3. Step 3: Cross multiply
    327,037x = 490,710.94 × 149,530.36
  4. Step 4: Simplify right side
    327,037x = 73,376,183,514.14
  5. Step 5: Solve for x
    x = 73,376,183,514.14/327,037
  6. Step 6: Final answer
    x = 224,366.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.