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Finding the Fourth Proportional to 299,204.52, 412,861.28 and 171,880.08

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Solution

The fourth proportional to 299,204.52, 412,861.28 and 171,880.08 is: 237,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204.52 : 412,861.28 = 171,880.08 : x
  2. Step 2: Convert to fraction form
    299,204.52/412,861.28 = 171,880.08/x
  3. Step 3: Cross multiply
    299,204.52x = 412,861.28 × 171,880.08
  4. Step 4: Simplify right side
    299,204.52x = 70,962,629,835.30
  5. Step 5: Solve for x
    x = 70,962,629,835.30/299,204.52
  6. Step 6: Final answer
    x = 237,170.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.