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Finding the Fourth Proportional to 311,468.10, 467,029.35 and 133,944.90

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Solution

The fourth proportional to 311,468.10, 467,029.35 and 133,944.90 is: 200,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,468.10 : 467,029.35 = 133,944.90 : x
  2. Step 2: Convert to fraction form
    311,468.10/467,029.35 = 133,944.90/x
  3. Step 3: Cross multiply
    311,468.10x = 467,029.35 × 133,944.90
  4. Step 4: Simplify right side
    311,468.10x = 62,556,199,582.82
  5. Step 5: Solve for x
    x = 62,556,199,582.82/311,468.10
  6. Step 6: Final answer
    x = 200,843.04

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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.