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Finding the Fourth Proportional to 320,079.38, 441,514.34 and 205,319.39

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Solution

The fourth proportional to 320,079.38, 441,514.34 and 205,319.39 is: 283,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,079.38 : 441,514.34 = 205,319.39 : x
  2. Step 2: Convert to fraction form
    320,079.38/441,514.34 = 205,319.39/x
  3. Step 3: Cross multiply
    320,079.38x = 441,514.34 × 205,319.39
  4. Step 4: Simplify right side
    320,079.38x = 90,651,454,965.05
  5. Step 5: Solve for x
    x = 90,651,454,965.05/320,079.38
  6. Step 6: Final answer
    x = 283,215.54

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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.