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Finding the Fourth Proportional to 465,910.30, 698,750.02 and 199,640.62

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Solution

The fourth proportional to 465,910.30, 698,750.02 and 199,640.62 is: 299,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,910.30 : 698,750.02 = 199,640.62 : x
  2. Step 2: Convert to fraction form
    465,910.30/698,750.02 = 199,640.62/x
  3. Step 3: Cross multiply
    465,910.30x = 698,750.02 × 199,640.62
  4. Step 4: Simplify right side
    465,910.30x = 139,498,882,725.86
  5. Step 5: Solve for x
    x = 139,498,882,725.86/465,910.30
  6. Step 6: Final answer
    x = 299,411.46

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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.