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Finding the Fourth Proportional to 293,667, 405,226.08 and 172,781.72

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Solution

The fourth proportional to 293,667, 405,226.08 and 172,781.72 is: 238,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,667 : 405,226.08 = 172,781.72 : x
  2. Step 2: Convert to fraction form
    293,667/405,226.08 = 172,781.72/x
  3. Step 3: Cross multiply
    293,667x = 405,226.08 × 172,781.72
  4. Step 4: Simplify right side
    293,667x = 70,015,659,091.26
  5. Step 5: Solve for x
    x = 70,015,659,091.26/293,667
  6. Step 6: Final answer
    x = 238,418.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.