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Finding the Fourth Proportional to 306,196.48, 422,558.40 and 170,234.56

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Solution

The fourth proportional to 306,196.48, 422,558.40 and 170,234.56 is: 234,927.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,196.48 : 422,558.40 = 170,234.56 : x
  2. Step 2: Convert to fraction form
    306,196.48/422,558.40 = 170,234.56/x
  3. Step 3: Cross multiply
    306,196.48x = 422,558.40 × 170,234.56
  4. Step 4: Simplify right side
    306,196.48x = 71,934,043,298.30
  5. Step 5: Solve for x
    x = 71,934,043,298.30/306,196.48
  6. Step 6: Final answer
    x = 234,927.73

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