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Finding the Fourth Proportional to 413,538.40, 620,672.10 and 244,847.80

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Solution

The fourth proportional to 413,538.40, 620,672.10 and 244,847.80 is: 367,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,538.40 : 620,672.10 = 244,847.80 : x
  2. Step 2: Convert to fraction form
    413,538.40/620,672.10 = 244,847.80/x
  3. Step 3: Cross multiply
    413,538.40x = 620,672.10 × 244,847.80
  4. Step 4: Simplify right side
    413,538.40x = 151,970,198,206.38
  5. Step 5: Solve for x
    x = 151,970,198,206.38/413,538.40
  6. Step 6: Final answer
    x = 367,487.51

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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.