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Finding the Fourth Proportional to 320,793.38, 442,689.50 and 177,550.35

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Solution

The fourth proportional to 320,793.38, 442,689.50 and 177,550.35 is: 245,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,793.38 : 442,689.50 = 177,550.35 : x
  2. Step 2: Convert to fraction form
    320,793.38/442,689.50 = 177,550.35/x
  3. Step 3: Cross multiply
    320,793.38x = 442,689.50 × 177,550.35
  4. Step 4: Simplify right side
    320,793.38x = 78,599,675,666.33
  5. Step 5: Solve for x
    x = 78,599,675,666.33/320,793.38
  6. Step 6: Final answer
    x = 245,016.51

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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.