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Finding the Fourth Proportional to 294,945.71, 407,059.63 and 167,640.44

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Solution

The fourth proportional to 294,945.71, 407,059.63 and 167,640.44 is: 231,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,945.71 : 407,059.63 = 167,640.44 : x
  2. Step 2: Convert to fraction form
    294,945.71/407,059.63 = 167,640.44/x
  3. Step 3: Cross multiply
    294,945.71x = 407,059.63 × 167,640.44
  4. Step 4: Simplify right side
    294,945.71x = 68,239,653,025.04
  5. Step 5: Solve for x
    x = 68,239,653,025.04/294,945.71
  6. Step 6: Final answer
    x = 231,363.44

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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.