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Finding the Fourth Proportional to 295,998.38, 408,469.47 and 161,859.50

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Solution

The fourth proportional to 295,998.38, 408,469.47 and 161,859.50 is: 223,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,998.38 : 408,469.47 = 161,859.50 : x
  2. Step 2: Convert to fraction form
    295,998.38/408,469.47 = 161,859.50/x
  3. Step 3: Cross multiply
    295,998.38x = 408,469.47 × 161,859.50
  4. Step 4: Simplify right side
    295,998.38x = 66,114,664,179.47
  5. Step 5: Solve for x
    x = 66,114,664,179.47/295,998.38
  6. Step 6: Final answer
    x = 223,361.57

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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.