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Finding the Fourth Proportional to 492,334.73, 738,206.82 and 225,761.30

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Solution

The fourth proportional to 492,334.73, 738,206.82 and 225,761.30 is: 338,506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,334.73 : 738,206.82 = 225,761.30 : x
  2. Step 2: Convert to fraction form
    492,334.73/738,206.82 = 225,761.30/x
  3. Step 3: Cross multiply
    492,334.73x = 738,206.82 × 225,761.30
  4. Step 4: Simplify right side
    492,334.73x = 166,658,532,188.04
  5. Step 5: Solve for x
    x = 166,658,532,188.04/492,334.73
  6. Step 6: Final answer
    x = 338,506.55

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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.