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Finding the Fourth Proportional to 294,872.54, 406,921.97 and 167,548.14

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Solution

The fourth proportional to 294,872.54, 406,921.97 and 167,548.14 is: 231,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,872.54 : 406,921.97 = 167,548.14 : x
  2. Step 2: Convert to fraction form
    294,872.54/406,921.97 = 167,548.14/x
  3. Step 3: Cross multiply
    294,872.54x = 406,921.97 × 167,548.14
  4. Step 4: Simplify right side
    294,872.54x = 68,179,018,360.90
  5. Step 5: Solve for x
    x = 68,179,018,360.90/294,872.54
  6. Step 6: Final answer
    x = 231,215.22

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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.