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Finding the Fourth Proportional to 449,357.42, 673,962.78 and 149,840.48

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Solution

The fourth proportional to 449,357.42, 673,962.78 and 149,840.48 is: 224,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,357.42 : 673,962.78 = 149,840.48 : x
  2. Step 2: Convert to fraction form
    449,357.42/673,962.78 = 149,840.48/x
  3. Step 3: Cross multiply
    449,357.42x = 673,962.78 × 149,840.48
  4. Step 4: Simplify right side
    449,357.42x = 100,986,906,457.33
  5. Step 5: Solve for x
    x = 100,986,906,457.33/449,357.42
  6. Step 6: Final answer
    x = 224,736.26

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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.