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Finding the Fourth Proportional to 411,418.58, 616,905.97 and 186,656.38

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Solution

The fourth proportional to 411,418.58, 616,905.97 and 186,656.38 is: 279,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,418.58 : 616,905.97 = 186,656.38 : x
  2. Step 2: Convert to fraction form
    411,418.58/616,905.97 = 186,656.38/x
  3. Step 3: Cross multiply
    411,418.58x = 616,905.97 × 186,656.38
  4. Step 4: Simplify right side
    411,418.58x = 115,149,433,151.68
  5. Step 5: Solve for x
    x = 115,149,433,151.68/411,418.58
  6. Step 6: Final answer
    x = 279,883.89

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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.