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Finding the Fourth Proportional to 299,196.89, 412,889.74 and 170,135.38

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Solution

The fourth proportional to 299,196.89, 412,889.74 and 170,135.38 is: 234,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,196.89 : 412,889.74 = 170,135.38 : x
  2. Step 2: Convert to fraction form
    299,196.89/412,889.74 = 170,135.38/x
  3. Step 3: Cross multiply
    299,196.89x = 412,889.74 × 170,135.38
  4. Step 4: Simplify right side
    299,196.89x = 70,247,153,754.45
  5. Step 5: Solve for x
    x = 70,247,153,754.45/299,196.89
  6. Step 6: Final answer
    x = 234,785.71

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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.