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Finding the Fourth Proportional to 311,222, 429,564.12 and 177,163.76

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Solution

The fourth proportional to 311,222, 429,564.12 and 177,163.76 is: 244,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,222 : 429,564.12 = 177,163.76 : x
  2. Step 2: Convert to fraction form
    311,222/429,564.12 = 177,163.76/x
  3. Step 3: Cross multiply
    311,222x = 429,564.12 × 177,163.76
  4. Step 4: Simplify right side
    311,222x = 76,103,194,660.29
  5. Step 5: Solve for x
    x = 76,103,194,660.29/311,222
  6. Step 6: Final answer
    x = 244,530.25

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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.