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Finding the Fourth Proportional to 294,789.22, 406,820.01 and 167,486.38

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Solution

The fourth proportional to 294,789.22, 406,820.01 and 167,486.38 is: 231,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,789.22 : 406,820.01 = 167,486.38 : x
  2. Step 2: Convert to fraction form
    294,789.22/406,820.01 = 167,486.38/x
  3. Step 3: Cross multiply
    294,789.22x = 406,820.01 × 167,486.38
  4. Step 4: Simplify right side
    294,789.22x = 68,136,810,786.46
  5. Step 5: Solve for x
    x = 68,136,810,786.46/294,789.22
  6. Step 6: Final answer
    x = 231,137.39

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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.