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Finding the Fourth Proportional to 342,892.20, 514,338.30 and 201,174.60

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Solution

The fourth proportional to 342,892.20, 514,338.30 and 201,174.60 is: 301,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,892.20 : 514,338.30 = 201,174.60 : x
  2. Step 2: Convert to fraction form
    342,892.20/514,338.30 = 201,174.60/x
  3. Step 3: Cross multiply
    342,892.20x = 514,338.30 × 201,174.60
  4. Step 4: Simplify right side
    342,892.20x = 103,471,801,767.18
  5. Step 5: Solve for x
    x = 103,471,801,767.18/342,892.20
  6. Step 6: Final answer
    x = 301,761.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.