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Finding the Fourth Proportional to 299,199.24, 412,844.04 and 178,338.24

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Solution

The fourth proportional to 299,199.24, 412,844.04 and 178,338.24 is: 246,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,199.24 : 412,844.04 = 178,338.24 : x
  2. Step 2: Convert to fraction form
    299,199.24/412,844.04 = 178,338.24/x
  3. Step 3: Cross multiply
    299,199.24x = 412,844.04 × 178,338.24
  4. Step 4: Simplify right side
    299,199.24x = 73,625,879,488.09
  5. Step 5: Solve for x
    x = 73,625,879,488.09/299,199.24
  6. Step 6: Final answer
    x = 246,076.43

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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.