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Finding the Fourth Proportional to 295,942.24, 408,394.14 and 161,806.24

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Solution

The fourth proportional to 295,942.24, 408,394.14 and 161,806.24 is: 223,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,942.24 : 408,394.14 = 161,806.24 : x
  2. Step 2: Convert to fraction form
    295,942.24/408,394.14 = 161,806.24/x
  3. Step 3: Cross multiply
    295,942.24x = 408,394.14 × 161,806.24
  4. Step 4: Simplify right side
    295,942.24x = 66,080,720,231.43
  5. Step 5: Solve for x
    x = 66,080,720,231.43/295,942.24
  6. Step 6: Final answer
    x = 223,289.25

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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.