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Finding the Fourth Proportional to 538,181.79, 806,992.41 and 200,945.11

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Solution

The fourth proportional to 538,181.79, 806,992.41 and 200,945.11 is: 301,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,181.79 : 806,992.41 = 200,945.11 : x
  2. Step 2: Convert to fraction form
    538,181.79/806,992.41 = 200,945.11/x
  3. Step 3: Cross multiply
    538,181.79x = 806,992.41 × 200,945.11
  4. Step 4: Simplify right side
    538,181.79x = 162,161,178,596.62
  5. Step 5: Solve for x
    x = 162,161,178,596.62/538,181.79
  6. Step 6: Final answer
    x = 301,313.02

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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.