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Finding the Fourth Proportional to 305,932.38, 422,184.15 and 171,793.50

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Solution

The fourth proportional to 305,932.38, 422,184.15 and 171,793.50 is: 237,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,932.38 : 422,184.15 = 171,793.50 : x
  2. Step 2: Convert to fraction form
    305,932.38/422,184.15 = 171,793.50/x
  3. Step 3: Cross multiply
    305,932.38x = 422,184.15 × 171,793.50
  4. Step 4: Simplify right side
    305,932.38x = 72,528,492,773.03
  5. Step 5: Solve for x
    x = 72,528,492,773.03/305,932.38
  6. Step 6: Final answer
    x = 237,073.61

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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.