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Finding the Fourth Proportional to 234,341.67, 323,149.65 and 200,462.31

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Solution

The fourth proportional to 234,341.67, 323,149.65 and 200,462.31 is: 276,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,341.67 : 323,149.65 = 200,462.31 : x
  2. Step 2: Convert to fraction form
    234,341.67/323,149.65 = 200,462.31/x
  3. Step 3: Cross multiply
    234,341.67x = 323,149.65 × 200,462.31
  4. Step 4: Simplify right side
    234,341.67x = 64,779,325,690.56
  5. Step 5: Solve for x
    x = 64,779,325,690.56/234,341.67
  6. Step 6: Final answer
    x = 276,431.10

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