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Finding the Fourth Proportional to 665,754.96, 919,222.92 and 411,454.80

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Solution

The fourth proportional to 665,754.96, 919,222.92 and 411,454.80 is: 568,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,754.96 : 919,222.92 = 411,454.80 : x
  2. Step 2: Convert to fraction form
    665,754.96/919,222.92 = 411,454.80/x
  3. Step 3: Cross multiply
    665,754.96x = 919,222.92 × 411,454.80
  4. Step 4: Simplify right side
    665,754.96x = 378,218,682,704.02
  5. Step 5: Solve for x
    x = 378,218,682,704.02/665,754.96
  6. Step 6: Final answer
    x = 568,104.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.