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Finding the Fourth Proportional to 320,173.91, 441,805.41 and 176,914.47

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Solution

The fourth proportional to 320,173.91, 441,805.41 and 176,914.47 is: 244,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,173.91 : 441,805.41 = 176,914.47 : x
  2. Step 2: Convert to fraction form
    320,173.91/441,805.41 = 176,914.47/x
  3. Step 3: Cross multiply
    320,173.91x = 441,805.41 × 176,914.47
  4. Step 4: Simplify right side
    320,173.91x = 78,161,769,953.28
  5. Step 5: Solve for x
    x = 78,161,769,953.28/320,173.91
  6. Step 6: Final answer
    x = 244,122.86

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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.