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Finding the Fourth Proportional to 467,446.76, 700,616.54 and 214,514.06

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Solution

The fourth proportional to 467,446.76, 700,616.54 and 214,514.06 is: 321,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,446.76 : 700,616.54 = 214,514.06 : x
  2. Step 2: Convert to fraction form
    467,446.76/700,616.54 = 214,514.06/x
  3. Step 3: Cross multiply
    467,446.76x = 700,616.54 × 214,514.06
  4. Step 4: Simplify right side
    467,446.76x = 150,292,093,922.90
  5. Step 5: Solve for x
    x = 150,292,093,922.90/467,446.76
  6. Step 6: Final answer
    x = 321,517.03

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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.