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Finding the Fourth Proportional to 299,422.46, 413,163.78 and 178,577.93

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Solution

The fourth proportional to 299,422.46, 413,163.78 and 178,577.93 is: 246,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422.46 : 413,163.78 = 178,577.93 : x
  2. Step 2: Convert to fraction form
    299,422.46/413,163.78 = 178,577.93/x
  3. Step 3: Cross multiply
    299,422.46x = 413,163.78 × 178,577.93
  4. Step 4: Simplify right side
    299,422.46x = 73,781,932,583.38
  5. Step 5: Solve for x
    x = 73,781,932,583.38/299,422.46
  6. Step 6: Final answer
    x = 246,414.16

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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.