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Finding the Fourth Proportional to 538,109.24, 806,883.44 and 200,872.53

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Solution

The fourth proportional to 538,109.24, 806,883.44 and 200,872.53 is: 301,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,109.24 : 806,883.44 = 200,872.53 : x
  2. Step 2: Convert to fraction form
    538,109.24/806,883.44 = 200,872.53/x
  3. Step 3: Cross multiply
    538,109.24x = 806,883.44 × 200,872.53
  4. Step 4: Simplify right side
    538,109.24x = 162,080,718,007.90
  5. Step 5: Solve for x
    x = 162,080,718,007.90/538,109.24
  6. Step 6: Final answer
    x = 301,204.12

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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.