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Finding the Fourth Proportional to 294,982.47, 407,110.74 and 167,677.20

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Solution

The fourth proportional to 294,982.47, 407,110.74 and 167,677.20 is: 231,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,982.47 : 407,110.74 = 167,677.20 : x
  2. Step 2: Convert to fraction form
    294,982.47/407,110.74 = 167,677.20/x
  3. Step 3: Cross multiply
    294,982.47x = 407,110.74 × 167,677.20
  4. Step 4: Simplify right side
    294,982.47x = 68,263,188,973.13
  5. Step 5: Solve for x
    x = 68,263,188,973.13/294,982.47
  6. Step 6: Final answer
    x = 231,414.39

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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.