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Finding the Fourth Proportional to 538,891.29, 808,633.13 and 202,164.57

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Solution

The fourth proportional to 538,891.29, 808,633.13 and 202,164.57 is: 303,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,891.29 : 808,633.13 = 202,164.57 : x
  2. Step 2: Convert to fraction form
    538,891.29/808,633.13 = 202,164.57/x
  3. Step 3: Cross multiply
    538,891.29x = 808,633.13 × 202,164.57
  4. Step 4: Simplify right side
    538,891.29x = 163,476,968,003.38
  5. Step 5: Solve for x
    x = 163,476,968,003.38/538,891.29
  6. Step 6: Final answer
    x = 303,357.97

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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.