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Finding the Fourth Proportional to 311,324.03, 467,051.65 and 100,945.56

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Solution

The fourth proportional to 311,324.03, 467,051.65 and 100,945.56 is: 151,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,324.03 : 467,051.65 = 100,945.56 : x
  2. Step 2: Convert to fraction form
    311,324.03/467,051.65 = 100,945.56/x
  3. Step 3: Cross multiply
    311,324.03x = 467,051.65 × 100,945.56
  4. Step 4: Simplify right side
    311,324.03x = 47,146,790,358.17
  5. Step 5: Solve for x
    x = 47,146,790,358.17/311,324.03
  6. Step 6: Final answer
    x = 151,439.61

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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.