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Finding the Fourth Proportional to 305,840.50, 422,059.90 and 171,704.50

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Solution

The fourth proportional to 305,840.50, 422,059.90 and 171,704.50 is: 236,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,840.50 : 422,059.90 = 171,704.50 : x
  2. Step 2: Convert to fraction form
    305,840.50/422,059.90 = 171,704.50/x
  3. Step 3: Cross multiply
    305,840.50x = 422,059.90 × 171,704.50
  4. Step 4: Simplify right side
    305,840.50x = 72,469,584,099.55
  5. Step 5: Solve for x
    x = 72,469,584,099.55/305,840.50
  6. Step 6: Final answer
    x = 236,952.22

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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.