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Finding the Fourth Proportional to 306,094.78, 422,408.55 and 171,958.78

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Solution

The fourth proportional to 306,094.78, 422,408.55 and 171,958.78 is: 237,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,094.78 : 422,408.55 = 171,958.78 : x
  2. Step 2: Convert to fraction form
    306,094.78/422,408.55 = 171,958.78/x
  3. Step 3: Cross multiply
    306,094.78x = 422,408.55 × 171,958.78
  4. Step 4: Simplify right side
    306,094.78x = 72,636,858,919.57
  5. Step 5: Solve for x
    x = 72,636,858,919.57/306,094.78
  6. Step 6: Final answer
    x = 237,301.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.