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Finding the Fourth Proportional to 466,403.56, 699,456.06 and 200,092.36

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Solution

The fourth proportional to 466,403.56, 699,456.06 and 200,092.36 is: 300,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,403.56 : 699,456.06 = 200,092.36 : x
  2. Step 2: Convert to fraction form
    466,403.56/699,456.06 = 200,092.36/x
  3. Step 3: Cross multiply
    466,403.56x = 699,456.06 × 200,092.36
  4. Step 4: Simplify right side
    466,403.56x = 139,955,813,761.70
  5. Step 5: Solve for x
    x = 139,955,813,761.70/466,403.56
  6. Step 6: Final answer
    x = 300,074.50

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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.