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Finding the Fourth Proportional to 538,805.82, 808,179.42 and 164,828.82

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Solution

The fourth proportional to 538,805.82, 808,179.42 and 164,828.82 is: 247,234.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,805.82 : 808,179.42 = 164,828.82 : x
  2. Step 2: Convert to fraction form
    538,805.82/808,179.42 = 164,828.82/x
  3. Step 3: Cross multiply
    538,805.82x = 808,179.42 × 164,828.82
  4. Step 4: Simplify right side
    538,805.82x = 133,211,260,146.88
  5. Step 5: Solve for x
    x = 133,211,260,146.88/538,805.82
  6. Step 6: Final answer
    x = 247,234.26

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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.