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Finding the Fourth Proportional to 419,189.87, 631,609.20 and 345,950.48

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Solution

The fourth proportional to 419,189.87, 631,609.20 and 345,950.48 is: 521,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,189.87 : 631,609.20 = 345,950.48 : x
  2. Step 2: Convert to fraction form
    419,189.87/631,609.20 = 345,950.48/x
  3. Step 3: Cross multiply
    419,189.87x = 631,609.20 × 345,950.48
  4. Step 4: Simplify right side
    419,189.87x = 218,505,505,912.42
  5. Step 5: Solve for x
    x = 218,505,505,912.42/419,189.87
  6. Step 6: Final answer
    x = 521,256.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.