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Finding the Fourth Proportional to 339,440.22, 508,385.30 and 162,071.78

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Solution

The fourth proportional to 339,440.22, 508,385.30 and 162,071.78 is: 242,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,440.22 : 508,385.30 = 162,071.78 : x
  2. Step 2: Convert to fraction form
    339,440.22/508,385.30 = 162,071.78/x
  3. Step 3: Cross multiply
    339,440.22x = 508,385.30 × 162,071.78
  4. Step 4: Simplify right side
    339,440.22x = 82,394,910,496.83
  5. Step 5: Solve for x
    x = 82,394,910,496.83/339,440.22
  6. Step 6: Final answer
    x = 242,737.62

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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.