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Finding the Fourth Proportional to 465,906.17, 698,743.83 and 199,636.49

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Solution

The fourth proportional to 465,906.17, 698,743.83 and 199,636.49 is: 299,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,906.17 : 698,743.83 = 199,636.49 : x
  2. Step 2: Convert to fraction form
    465,906.17/698,743.83 = 199,636.49/x
  3. Step 3: Cross multiply
    465,906.17x = 698,743.83 × 199,636.49
  4. Step 4: Simplify right side
    465,906.17x = 139,494,765,630.36
  5. Step 5: Solve for x
    x = 139,494,765,630.36/465,906.17
  6. Step 6: Final answer
    x = 299,405.28

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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.