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Finding the Fourth Proportional to 299,796.60, 449,838.90 and 200,004.60

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Solution

The fourth proportional to 299,796.60, 449,838.90 and 200,004.60 is: 300,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,796.60 : 449,838.90 = 200,004.60 : x
  2. Step 2: Convert to fraction form
    299,796.60/449,838.90 = 200,004.60/x
  3. Step 3: Cross multiply
    299,796.60x = 449,838.90 × 200,004.60
  4. Step 4: Simplify right side
    299,796.60x = 89,969,849,258.94
  5. Step 5: Solve for x
    x = 89,969,849,258.94/299,796.60
  6. Step 6: Final answer
    x = 300,102.97

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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.