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Finding the Fourth Proportional to 344,266.44, 516,201 and 133,658.34

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Solution

The fourth proportional to 344,266.44, 516,201 and 133,658.34 is: 200,410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,266.44 : 516,201 = 133,658.34 : x
  2. Step 2: Convert to fraction form
    344,266.44/516,201 = 133,658.34/x
  3. Step 3: Cross multiply
    344,266.44x = 516,201 × 133,658.34
  4. Step 4: Simplify right side
    344,266.44x = 68,994,568,766.34
  5. Step 5: Solve for x
    x = 68,994,568,766.34/344,266.44
  6. Step 6: Final answer
    x = 200,410.38

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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.