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Finding the Fourth Proportional to 538,185.29, 806,997.66 and 200,948.61

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Solution

The fourth proportional to 538,185.29, 806,997.66 and 200,948.61 is: 301,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,185.29 : 806,997.66 = 200,948.61 : x
  2. Step 2: Convert to fraction form
    538,185.29/806,997.66 = 200,948.61/x
  3. Step 3: Cross multiply
    538,185.29x = 806,997.66 × 200,948.61
  4. Step 4: Simplify right side
    538,185.29x = 162,165,058,050.25
  5. Step 5: Solve for x
    x = 162,165,058,050.25/538,185.29
  6. Step 6: Final answer
    x = 301,318.27

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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.