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Finding the Fourth Proportional to 422,667.60, 634,060.62 and 138,380.40

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Solution

The fourth proportional to 422,667.60, 634,060.62 and 138,380.40 is: 207,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,667.60 : 634,060.62 = 138,380.40 : x
  2. Step 2: Convert to fraction form
    422,667.60/634,060.62 = 138,380.40/x
  3. Step 3: Cross multiply
    422,667.60x = 634,060.62 × 138,380.40
  4. Step 4: Simplify right side
    422,667.60x = 87,741,562,219.85
  5. Step 5: Solve for x
    x = 87,741,562,219.85/422,667.60
  6. Step 6: Final answer
    x = 207,589.99

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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.