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Finding the Fourth Proportional to 299,402.28, 413,164.86 and 178,481.22

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Solution

The fourth proportional to 299,402.28, 413,164.86 and 178,481.22 is: 246,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,402.28 : 413,164.86 = 178,481.22 : x
  2. Step 2: Convert to fraction form
    299,402.28/413,164.86 = 178,481.22/x
  3. Step 3: Cross multiply
    299,402.28x = 413,164.86 × 178,481.22
  4. Step 4: Simplify right side
    299,402.28x = 73,742,168,273.93
  5. Step 5: Solve for x
    x = 73,742,168,273.93/299,402.28
  6. Step 6: Final answer
    x = 246,297.95

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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.