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Finding the Fourth Proportional to 339,791.46, 468,902.22 and 186,829.50

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Solution

The fourth proportional to 339,791.46, 468,902.22 and 186,829.50 is: 257,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,791.46 : 468,902.22 = 186,829.50 : x
  2. Step 2: Convert to fraction form
    339,791.46/468,902.22 = 186,829.50/x
  3. Step 3: Cross multiply
    339,791.46x = 468,902.22 × 186,829.50
  4. Step 4: Simplify right side
    339,791.46x = 87,604,767,311.49
  5. Step 5: Solve for x
    x = 87,604,767,311.49/339,791.46
  6. Step 6: Final answer
    x = 257,819.21

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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.