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Finding the Fourth Proportional to 320,194.26, 441,864.45 and 176,954.27

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Solution

The fourth proportional to 320,194.26, 441,864.45 and 176,954.27 is: 244,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,194.26 : 441,864.45 = 176,954.27 : x
  2. Step 2: Convert to fraction form
    320,194.26/441,864.45 = 176,954.27/x
  3. Step 3: Cross multiply
    320,194.26x = 441,864.45 × 176,954.27
  4. Step 4: Simplify right side
    320,194.26x = 78,189,798,979.38
  5. Step 5: Solve for x
    x = 78,189,798,979.38/320,194.26
  6. Step 6: Final answer
    x = 244,194.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.