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Finding the Fourth Proportional to 294,996.92, 407,091.94 and 167,664.12

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Solution

The fourth proportional to 294,996.92, 407,091.94 and 167,664.12 is: 231,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,996.92 : 407,091.94 = 167,664.12 : x
  2. Step 2: Convert to fraction form
    294,996.92/407,091.94 = 167,664.12/x
  3. Step 3: Cross multiply
    294,996.92x = 407,091.94 × 167,664.12
  4. Step 4: Simplify right side
    294,996.92x = 68,254,711,879.19
  5. Step 5: Solve for x
    x = 68,254,711,879.19/294,996.92
  6. Step 6: Final answer
    x = 231,374.32

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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.