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Finding the Fourth Proportional to 339,567.75, 468,997.16 and 226,193.67

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Solution

The fourth proportional to 339,567.75, 468,997.16 and 226,193.67 is: 312,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,567.75 : 468,997.16 = 226,193.67 : x
  2. Step 2: Convert to fraction form
    339,567.75/468,997.16 = 226,193.67/x
  3. Step 3: Cross multiply
    339,567.75x = 468,997.16 × 226,193.67
  4. Step 4: Simplify right side
    339,567.75x = 106,084,187,709.01
  5. Step 5: Solve for x
    x = 106,084,187,709.01/339,567.75
  6. Step 6: Final answer
    x = 312,409.49

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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.