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Finding the Fourth Proportional to 299,771.06, 449,968.02 and 200,624.09

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Solution

The fourth proportional to 299,771.06, 449,968.02 and 200,624.09 is: 301,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,771.06 : 449,968.02 = 200,624.09 : x
  2. Step 2: Convert to fraction form
    299,771.06/449,968.02 = 200,624.09/x
  3. Step 3: Cross multiply
    299,771.06x = 449,968.02 × 200,624.09
  4. Step 4: Simplify right side
    299,771.06x = 90,274,422,291.76
  5. Step 5: Solve for x
    x = 90,274,422,291.76/299,771.06
  6. Step 6: Final answer
    x = 301,144.56

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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.