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Finding the Fourth Proportional to 467,825.82, 701,157.34 and 214,837.91

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Solution

The fourth proportional to 467,825.82, 701,157.34 and 214,837.91 is: 321,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,825.82 : 701,157.34 = 214,837.91 : x
  2. Step 2: Convert to fraction form
    467,825.82/701,157.34 = 214,837.91/x
  3. Step 3: Cross multiply
    467,825.82x = 701,157.34 × 214,837.91
  4. Step 4: Simplify right side
    467,825.82x = 150,635,177,506.76
  5. Step 5: Solve for x
    x = 150,635,177,506.76/467,825.82
  6. Step 6: Final answer
    x = 321,989.88

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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.