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Finding the Fourth Proportional to 299,230.44, 412,953.80 and 171,914.28

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Solution

The fourth proportional to 299,230.44, 412,953.80 and 171,914.28 is: 237,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,230.44 : 412,953.80 = 171,914.28 : x
  2. Step 2: Convert to fraction form
    299,230.44/412,953.80 = 171,914.28/x
  3. Step 3: Cross multiply
    299,230.44x = 412,953.80 × 171,914.28
  4. Step 4: Simplify right side
    299,230.44x = 70,992,655,200.26
  5. Step 5: Solve for x
    x = 70,992,655,200.26/299,230.44
  6. Step 6: Final answer
    x = 237,250.78

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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.