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Finding the Fourth Proportional to 462,817.26, 693,507.83 and 320,939.28

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Solution

The fourth proportional to 462,817.26, 693,507.83 and 320,939.28 is: 480,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,817.26 : 693,507.83 = 320,939.28 : x
  2. Step 2: Convert to fraction form
    462,817.26/693,507.83 = 320,939.28/x
  3. Step 3: Cross multiply
    462,817.26x = 693,507.83 × 320,939.28
  4. Step 4: Simplify right side
    462,817.26x = 222,573,902,029.87
  5. Step 5: Solve for x
    x = 222,573,902,029.87/462,817.26
  6. Step 6: Final answer
    x = 480,910.98

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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.