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Finding the Fourth Proportional to 319,967.97, 441,553.17 and 174,773.85

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Solution

The fourth proportional to 319,967.97, 441,553.17 and 174,773.85 is: 241,186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,967.97 : 441,553.17 = 174,773.85 : x
  2. Step 2: Convert to fraction form
    319,967.97/441,553.17 = 174,773.85/x
  3. Step 3: Cross multiply
    319,967.97x = 441,553.17 × 174,773.85
  4. Step 4: Simplify right side
    319,967.97x = 77,171,947,500.60
  5. Step 5: Solve for x
    x = 77,171,947,500.60/319,967.97
  6. Step 6: Final answer
    x = 241,186.48

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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.