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Finding the Fourth Proportional to 538,082.64, 806,843.68 and 200,845.96

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Solution

The fourth proportional to 538,082.64, 806,843.68 and 200,845.96 is: 301,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,082.64 : 806,843.68 = 200,845.96 : x
  2. Step 2: Convert to fraction form
    538,082.64/806,843.68 = 200,845.96/x
  3. Step 3: Cross multiply
    538,082.64x = 806,843.68 × 200,845.96
  4. Step 4: Simplify right side
    538,082.64x = 162,051,293,479.53
  5. Step 5: Solve for x
    x = 162,051,293,479.53/538,082.64
  6. Step 6: Final answer
    x = 301,164.32

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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.