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Finding the Fourth Proportional to 285,930.38, 428,899.22 and 75,566.50

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Solution

The fourth proportional to 285,930.38, 428,899.22 and 75,566.50 is: 113,350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,930.38 : 428,899.22 = 75,566.50 : x
  2. Step 2: Convert to fraction form
    285,930.38/428,899.22 = 75,566.50/x
  3. Step 3: Cross multiply
    285,930.38x = 428,899.22 × 75,566.50
  4. Step 4: Simplify right side
    285,930.38x = 32,410,412,908.13
  5. Step 5: Solve for x
    x = 32,410,412,908.13/285,930.38
  6. Step 6: Final answer
    x = 113,350.71

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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.