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Finding the Fourth Proportional to 422,358.99, 633,404.35 and 137,984.73

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Solution

The fourth proportional to 422,358.99, 633,404.35 and 137,984.73 is: 206,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,358.99 : 633,404.35 = 137,984.73 : x
  2. Step 2: Convert to fraction form
    422,358.99/633,404.35 = 137,984.73/x
  3. Step 3: Cross multiply
    422,358.99x = 633,404.35 × 137,984.73
  4. Step 4: Simplify right side
    422,358.99x = 87,400,128,215.58
  5. Step 5: Solve for x
    x = 87,400,128,215.58/422,358.99
  6. Step 6: Final answer
    x = 206,933.27

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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.