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Finding the Fourth Proportional to 493,668.80, 739,466.40 and 271,793.60

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Solution

The fourth proportional to 493,668.80, 739,466.40 and 271,793.60 is: 407,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,668.80 : 739,466.40 = 271,793.60 : x
  2. Step 2: Convert to fraction form
    493,668.80/739,466.40 = 271,793.60/x
  3. Step 3: Cross multiply
    493,668.80x = 739,466.40 × 271,793.60
  4. Step 4: Simplify right side
    493,668.80x = 200,982,234,935.04
  5. Step 5: Solve for x
    x = 200,982,234,935.04/493,668.80
  6. Step 6: Final answer
    x = 407,119.58

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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.