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Finding the Fourth Proportional to 589,060.44, 883,328.22 and 214,821

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Solution

The fourth proportional to 589,060.44, 883,328.22 and 214,821 is: 322,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,060.44 : 883,328.22 = 214,821 : x
  2. Step 2: Convert to fraction form
    589,060.44/883,328.22 = 214,821/x
  3. Step 3: Cross multiply
    589,060.44x = 883,328.22 × 214,821
  4. Step 4: Simplify right side
    589,060.44x = 189,757,451,548.62
  5. Step 5: Solve for x
    x = 189,757,451,548.62/589,060.44
  6. Step 6: Final answer
    x = 322,135.79

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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.