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Finding the Fourth Proportional to 411,328.73, 616,917.47 and 186,635.14

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Solution

The fourth proportional to 411,328.73, 616,917.47 and 186,635.14 is: 279,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,328.73 : 616,917.47 = 186,635.14 : x
  2. Step 2: Convert to fraction form
    411,328.73/616,917.47 = 186,635.14/x
  3. Step 3: Cross multiply
    411,328.73x = 616,917.47 × 186,635.14
  4. Step 4: Simplify right side
    411,328.73x = 115,138,475,906.43
  5. Step 5: Solve for x
    x = 115,138,475,906.43/411,328.73
  6. Step 6: Final answer
    x = 279,918.39

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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.