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Finding the Fourth Proportional to 293,451.86, 404,956.26 and 164,389.47

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Solution

The fourth proportional to 293,451.86, 404,956.26 and 164,389.47 is: 226,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,451.86 : 404,956.26 = 164,389.47 : x
  2. Step 2: Convert to fraction form
    293,451.86/404,956.26 = 164,389.47/x
  3. Step 3: Cross multiply
    293,451.86x = 404,956.26 × 164,389.47
  4. Step 4: Simplify right side
    293,451.86x = 66,570,546,390.47
  5. Step 5: Solve for x
    x = 66,570,546,390.47/293,451.86
  6. Step 6: Final answer
    x = 226,853.38

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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.