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Finding the Fourth Proportional to 519,930.92, 779,940.12 and 182,936.06

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Solution

The fourth proportional to 519,930.92, 779,940.12 and 182,936.06 is: 274,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,930.92 : 779,940.12 = 182,936.06 : x
  2. Step 2: Convert to fraction form
    519,930.92/779,940.12 = 182,936.06/x
  3. Step 3: Cross multiply
    519,930.92x = 779,940.12 × 182,936.06
  4. Step 4: Simplify right side
    519,930.92x = 142,679,172,588.73
  5. Step 5: Solve for x
    x = 142,679,172,588.73/519,930.92
  6. Step 6: Final answer
    x = 274,419.48

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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.