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Finding the Fourth Proportional to 230,489, 345,791.82 and 64,277

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Solution

The fourth proportional to 230,489, 345,791.82 and 64,277 is: 96,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,489 : 345,791.82 = 64,277 : x
  2. Step 2: Convert to fraction form
    230,489/345,791.82 = 64,277/x
  3. Step 3: Cross multiply
    230,489x = 345,791.82 × 64,277
  4. Step 4: Simplify right side
    230,489x = 22,226,460,814.14
  5. Step 5: Solve for x
    x = 22,226,460,814.14/230,489
  6. Step 6: Final answer
    x = 96,431.76

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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.