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Finding the Fourth Proportional to 428,043.24, 642,092.50 and 143,722.30

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Solution

The fourth proportional to 428,043.24, 642,092.50 and 143,722.30 is: 215,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,043.24 : 642,092.50 = 143,722.30 : x
  2. Step 2: Convert to fraction form
    428,043.24/642,092.50 = 143,722.30/x
  3. Step 3: Cross multiply
    428,043.24x = 642,092.50 × 143,722.30
  4. Step 4: Simplify right side
    428,043.24x = 92,283,010,912.75
  5. Step 5: Solve for x
    x = 92,283,010,912.75/428,043.24
  6. Step 6: Final answer
    x = 215,592.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.