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Finding the Fourth Proportional to 319,620.78, 441,076.23 and 176,380.80

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Solution

The fourth proportional to 319,620.78, 441,076.23 and 176,380.80 is: 243,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,620.78 : 441,076.23 = 176,380.80 : x
  2. Step 2: Convert to fraction form
    319,620.78/441,076.23 = 176,380.80/x
  3. Step 3: Cross multiply
    319,620.78x = 441,076.23 × 176,380.80
  4. Step 4: Simplify right side
    319,620.78x = 77,797,378,308.38
  5. Step 5: Solve for x
    x = 77,797,378,308.38/319,620.78
  6. Step 6: Final answer
    x = 243,405.26

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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.