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Finding the Fourth Proportional to 295,221, 407,402.82 and 167,896.44

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Solution

The fourth proportional to 295,221, 407,402.82 and 167,896.44 is: 231,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,221 : 407,402.82 = 167,896.44 : x
  2. Step 2: Convert to fraction form
    295,221/407,402.82 = 167,896.44/x
  3. Step 3: Cross multiply
    295,221x = 407,402.82 × 167,896.44
  4. Step 4: Simplify right side
    295,221x = 68,401,483,123.96
  5. Step 5: Solve for x
    x = 68,401,483,123.96/295,221
  6. Step 6: Final answer
    x = 231,695.86

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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.