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Finding the Fourth Proportional to 294,092.25, 441,138.38 and 72,476.25

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Solution

The fourth proportional to 294,092.25, 441,138.38 and 72,476.25 is: 108,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,092.25 : 441,138.38 = 72,476.25 : x
  2. Step 2: Convert to fraction form
    294,092.25/441,138.38 = 72,476.25/x
  3. Step 3: Cross multiply
    294,092.25x = 441,138.38 × 72,476.25
  4. Step 4: Simplify right side
    294,092.25x = 31,972,055,151.09
  5. Step 5: Solve for x
    x = 31,972,055,151.09/294,092.25
  6. Step 6: Final answer
    x = 108,714.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.