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Finding the Fourth Proportional to 382,625.70, 573,938.55 and 214,664.10

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Solution

The fourth proportional to 382,625.70, 573,938.55 and 214,664.10 is: 321,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,625.70 : 573,938.55 = 214,664.10 : x
  2. Step 2: Convert to fraction form
    382,625.70/573,938.55 = 214,664.10/x
  3. Step 3: Cross multiply
    382,625.70x = 573,938.55 × 214,664.10
  4. Step 4: Simplify right side
    382,625.70x = 123,204,002,291.06
  5. Step 5: Solve for x
    x = 123,204,002,291.06/382,625.70
  6. Step 6: Final answer
    x = 321,996.15

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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.