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Finding the Fourth Proportional to 294,942.97, 407,055.90 and 167,637.70

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Solution

The fourth proportional to 294,942.97, 407,055.90 and 167,637.70 is: 231,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,942.97 : 407,055.90 = 167,637.70 : x
  2. Step 2: Convert to fraction form
    294,942.97/407,055.90 = 167,637.70/x
  3. Step 3: Cross multiply
    294,942.97x = 407,055.90 × 167,637.70
  4. Step 4: Simplify right side
    294,942.97x = 68,237,914,847.43
  5. Step 5: Solve for x
    x = 68,237,914,847.43/294,942.97
  6. Step 6: Final answer
    x = 231,359.69

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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.