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Finding the Fourth Proportional to 230,538, 345,807 and 64,326

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Solution

The fourth proportional to 230,538, 345,807 and 64,326 is: 96,489

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,538 : 345,807 = 64,326 : x
  2. Step 2: Convert to fraction form
    230,538/345,807 = 64,326/x
  3. Step 3: Cross multiply
    230,538x = 345,807 × 64,326
  4. Step 4: Simplify right side
    230,538x = 22,244,381,082
  5. Step 5: Solve for x
    x = 22,244,381,082/230,538
  6. Step 6: Final answer
    x = 96,489

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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.