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Finding the Fourth Proportional to 234,462.98, 323,380.38 and 201,812.96

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Solution

The fourth proportional to 234,462.98, 323,380.38 and 201,812.96 is: 278,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,462.98 : 323,380.38 = 201,812.96 : x
  2. Step 2: Convert to fraction form
    234,462.98/323,380.38 = 201,812.96/x
  3. Step 3: Cross multiply
    234,462.98x = 323,380.38 × 201,812.96
  4. Step 4: Simplify right side
    234,462.98x = 65,262,351,693.72
  5. Step 5: Solve for x
    x = 65,262,351,693.72/234,462.98
  6. Step 6: Final answer
    x = 278,348.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.