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Finding the Fourth Proportional to 293,092.98, 404,490.06 and 164,044.38

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Solution

The fourth proportional to 293,092.98, 404,490.06 and 164,044.38 is: 226,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,092.98 : 404,490.06 = 164,044.38 : x
  2. Step 2: Convert to fraction form
    293,092.98/404,490.06 = 164,044.38/x
  3. Step 3: Cross multiply
    293,092.98x = 404,490.06 × 164,044.38
  4. Step 4: Simplify right side
    293,092.98x = 66,354,321,108.86
  5. Step 5: Solve for x
    x = 66,354,321,108.86/293,092.98
  6. Step 6: Final answer
    x = 226,393.42

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1.5x scale

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.