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Finding the Fourth Proportional to 537,668.37, 806,500.50 and 200,793.82

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Solution

The fourth proportional to 537,668.37, 806,500.50 and 200,793.82 is: 301,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,668.37 : 806,500.50 = 200,793.82 : x
  2. Step 2: Convert to fraction form
    537,668.37/806,500.50 = 200,793.82/x
  3. Step 3: Cross multiply
    537,668.37x = 806,500.50 × 200,793.82
  4. Step 4: Simplify right side
    537,668.37x = 161,940,316,226.91
  5. Step 5: Solve for x
    x = 161,940,316,226.91/537,668.37
  6. Step 6: Final answer
    x = 301,189.96

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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.