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Finding the Fourth Proportional to 231,174, 346,761 and 64,962

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Solution

The fourth proportional to 231,174, 346,761 and 64,962 is: 97,443

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,174 : 346,761 = 64,962 : x
  2. Step 2: Convert to fraction form
    231,174/346,761 = 64,962/x
  3. Step 3: Cross multiply
    231,174x = 346,761 × 64,962
  4. Step 4: Simplify right side
    231,174x = 22,526,288,082
  5. Step 5: Solve for x
    x = 22,526,288,082/231,174
  6. Step 6: Final answer
    x = 97,443

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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.