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Finding the Fourth Proportional to 492,217.34, 738,329.04 and 137,234.43

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Solution

The fourth proportional to 492,217.34, 738,329.04 and 137,234.43 is: 205,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,217.34 : 738,329.04 = 137,234.43 : x
  2. Step 2: Convert to fraction form
    492,217.34/738,329.04 = 137,234.43/x
  3. Step 3: Cross multiply
    492,217.34x = 738,329.04 × 137,234.43
  4. Step 4: Simplify right side
    492,217.34x = 101,324,164,956.85
  5. Step 5: Solve for x
    x = 101,324,164,956.85/492,217.34
  6. Step 6: Final answer
    x = 205,852.49

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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.