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Finding the Fourth Proportional to 543,234.20, 814,851.30 and 492,495.80

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Solution

The fourth proportional to 543,234.20, 814,851.30 and 492,495.80 is: 738,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,234.20 : 814,851.30 = 492,495.80 : x
  2. Step 2: Convert to fraction form
    543,234.20/814,851.30 = 492,495.80/x
  3. Step 3: Cross multiply
    543,234.20x = 814,851.30 × 492,495.80
  4. Step 4: Simplify right side
    543,234.20x = 401,310,842,874.54
  5. Step 5: Solve for x
    x = 401,310,842,874.54/543,234.20
  6. Step 6: Final answer
    x = 738,743.70

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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.