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Finding the Fourth Proportional to 465,496.94, 698,244.09 and 123,940.34

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Solution

The fourth proportional to 465,496.94, 698,244.09 and 123,940.34 is: 185,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,496.94 : 698,244.09 = 123,940.34 : x
  2. Step 2: Convert to fraction form
    465,496.94/698,244.09 = 123,940.34/x
  3. Step 3: Cross multiply
    465,496.94x = 698,244.09 × 123,940.34
  4. Step 4: Simplify right side
    465,496.94x = 86,540,607,570.49
  5. Step 5: Solve for x
    x = 86,540,607,570.49/465,496.94
  6. Step 6: Final answer
    x = 185,910.15

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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.