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Finding the Fourth Proportional to 293,667, 405,226.08 and 172,781.70

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Solution

The fourth proportional to 293,667, 405,226.08 and 172,781.70 is: 238,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,667 : 405,226.08 = 172,781.70 : x
  2. Step 2: Convert to fraction form
    293,667/405,226.08 = 172,781.70/x
  3. Step 3: Cross multiply
    293,667x = 405,226.08 × 172,781.70
  4. Step 4: Simplify right side
    293,667x = 70,015,650,986.74
  5. Step 5: Solve for x
    x = 70,015,650,986.74/293,667
  6. Step 6: Final answer
    x = 238,418.52

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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.