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Finding the Fourth Proportional to 299,270.40, 449,150.40 and 296,937.60

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Solution

The fourth proportional to 299,270.40, 449,150.40 and 296,937.60 is: 445,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,270.40 : 449,150.40 = 296,937.60 : x
  2. Step 2: Convert to fraction form
    299,270.40/449,150.40 = 296,937.60/x
  3. Step 3: Cross multiply
    299,270.40x = 449,150.40 × 296,937.60
  4. Step 4: Simplify right side
    299,270.40x = 133,369,641,815.04
  5. Step 5: Solve for x
    x = 133,369,641,815.04/299,270.40
  6. Step 6: Final answer
    x = 445,649.29

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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.