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Finding the Fourth Proportional to 395,514.80, 593,010.12 and 218,106.80

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Solution

The fourth proportional to 395,514.80, 593,010.12 and 218,106.80 is: 327,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,514.80 : 593,010.12 = 218,106.80 : x
  2. Step 2: Convert to fraction form
    395,514.80/593,010.12 = 218,106.80/x
  3. Step 3: Cross multiply
    395,514.80x = 593,010.12 × 218,106.80
  4. Step 4: Simplify right side
    395,514.80x = 129,339,539,640.82
  5. Step 5: Solve for x
    x = 129,339,539,640.82/395,514.80
  6. Step 6: Final answer
    x = 327,015.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.