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Finding the Fourth Proportional to 298,850.81, 412,414.26 and 169,789.50

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Solution

The fourth proportional to 298,850.81, 412,414.26 and 169,789.50 is: 234,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,850.81 : 412,414.26 = 169,789.50 : x
  2. Step 2: Convert to fraction form
    298,850.81/412,414.26 = 169,789.50/x
  3. Step 3: Cross multiply
    298,850.81x = 412,414.26 × 169,789.50
  4. Step 4: Simplify right side
    298,850.81x = 70,023,612,954.07
  5. Step 5: Solve for x
    x = 70,023,612,954.07/298,850.81
  6. Step 6: Final answer
    x = 234,309.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.