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Finding the Fourth Proportional to 295,929, 408,383.46 and 161,793

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Solution

The fourth proportional to 295,929, 408,383.46 and 161,793 is: 223,275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,929 : 408,383.46 = 161,793 : x
  2. Step 2: Convert to fraction form
    295,929/408,383.46 = 161,793/x
  3. Step 3: Cross multiply
    295,929x = 408,383.46 × 161,793
  4. Step 4: Simplify right side
    295,929x = 66,073,585,143.78
  5. Step 5: Solve for x
    x = 66,073,585,143.78/295,929
  6. Step 6: Final answer
    x = 223,275.13

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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.