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Finding the Fourth Proportional to 295,192.44, 407,363.49 and 167,868

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Solution

The fourth proportional to 295,192.44, 407,363.49 and 167,868 is: 231,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,192.44 : 407,363.49 = 167,868 : x
  2. Step 2: Convert to fraction form
    295,192.44/407,363.49 = 167,868/x
  3. Step 3: Cross multiply
    295,192.44x = 407,363.49 × 167,868
  4. Step 4: Simplify right side
    295,192.44x = 68,383,294,339.32
  5. Step 5: Solve for x
    x = 68,383,294,339.32/295,192.44
  6. Step 6: Final answer
    x = 231,656.66

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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.