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Finding the Fourth Proportional to 294,726.26, 406,731.58 and 167,394.26

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Solution

The fourth proportional to 294,726.26, 406,731.58 and 167,394.26 is: 231,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,726.26 : 406,731.58 = 167,394.26 : x
  2. Step 2: Convert to fraction form
    294,726.26/406,731.58 = 167,394.26/x
  3. Step 3: Cross multiply
    294,726.26x = 406,731.58 × 167,394.26
  4. Step 4: Simplify right side
    294,726.26x = 68,084,531,852.73
  5. Step 5: Solve for x
    x = 68,084,531,852.73/294,726.26
  6. Step 6: Final answer
    x = 231,009.38

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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.