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Finding the Fourth Proportional to 551,124, 826,738.25 and 214,190.63

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Solution

The fourth proportional to 551,124, 826,738.25 and 214,190.63 is: 321,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,124 : 826,738.25 = 214,190.63 : x
  2. Step 2: Convert to fraction form
    551,124/826,738.25 = 214,190.63/x
  3. Step 3: Cross multiply
    551,124x = 826,738.25 × 214,190.63
  4. Step 4: Simplify right side
    551,124x = 177,079,584,508.22
  5. Step 5: Solve for x
    x = 177,079,584,508.22/551,124
  6. Step 6: Final answer
    x = 321,306.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.