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Finding the Fourth Proportional to 465,753.78, 698,453.37 and 305,786.93

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Solution

The fourth proportional to 465,753.78, 698,453.37 and 305,786.93 is: 458,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,753.78 : 698,453.37 = 305,786.93 : x
  2. Step 2: Convert to fraction form
    465,753.78/698,453.37 = 305,786.93/x
  3. Step 3: Cross multiply
    465,753.78x = 698,453.37 × 305,786.93
  4. Step 4: Simplify right side
    465,753.78x = 213,577,914,713.58
  5. Step 5: Solve for x
    x = 213,577,914,713.58/465,753.78
  6. Step 6: Final answer
    x = 458,563.99

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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.