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Finding the Fourth Proportional to 320,013.70, 441,610.35 and 176,770.66

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Solution

The fourth proportional to 320,013.70, 441,610.35 and 176,770.66 is: 243,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,013.70 : 441,610.35 = 176,770.66 : x
  2. Step 2: Convert to fraction form
    320,013.70/441,610.35 = 176,770.66/x
  3. Step 3: Cross multiply
    320,013.70x = 441,610.35 × 176,770.66
  4. Step 4: Simplify right side
    320,013.70x = 78,063,753,032.33
  5. Step 5: Solve for x
    x = 78,063,753,032.33/320,013.70
  6. Step 6: Final answer
    x = 243,938.78

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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.