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Finding the Fourth Proportional to 331,202.84, 457,059.86 and 180,299.80

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Solution

The fourth proportional to 331,202.84, 457,059.86 and 180,299.80 is: 248,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,202.84 : 457,059.86 = 180,299.80 : x
  2. Step 2: Convert to fraction form
    331,202.84/457,059.86 = 180,299.80/x
  3. Step 3: Cross multiply
    331,202.84x = 457,059.86 × 180,299.80
  4. Step 4: Simplify right side
    331,202.84x = 82,407,801,346.03
  5. Step 5: Solve for x
    x = 82,407,801,346.03/331,202.84
  6. Step 6: Final answer
    x = 248,813.69

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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.