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Finding the Fourth Proportional to 293,846.28, 405,516.42 and 166,517.64

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Solution

The fourth proportional to 293,846.28, 405,516.42 and 166,517.64 is: 229,799.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,846.28 : 405,516.42 = 166,517.64 : x
  2. Step 2: Convert to fraction form
    293,846.28/405,516.42 = 166,517.64/x
  3. Step 3: Cross multiply
    293,846.28x = 405,516.42 × 166,517.64
  4. Step 4: Simplify right side
    293,846.28x = 67,525,637,239.65
  5. Step 5: Solve for x
    x = 67,525,637,239.65/293,846.28
  6. Step 6: Final answer
    x = 229,799.19

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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.