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Finding the Fourth Proportional to 293,523.89, 405,064.56 and 166,224.29

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Solution

The fourth proportional to 293,523.89, 405,064.56 and 166,224.29 is: 229,390.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,523.89 : 405,064.56 = 166,224.29 : x
  2. Step 2: Convert to fraction form
    293,523.89/405,064.56 = 166,224.29/x
  3. Step 3: Cross multiply
    293,523.89x = 405,064.56 × 166,224.29
  4. Step 4: Simplify right side
    293,523.89x = 67,331,568,890.16
  5. Step 5: Solve for x
    x = 67,331,568,890.16/293,523.89
  6. Step 6: Final answer
    x = 229,390.42

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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.