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Finding the Fourth Proportional to 367,734.27, 507,470.27 and 206,585.92

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Solution

The fourth proportional to 367,734.27, 507,470.27 and 206,585.92 is: 285,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,734.27 : 507,470.27 = 206,585.92 : x
  2. Step 2: Convert to fraction form
    367,734.27/507,470.27 = 206,585.92/x
  3. Step 3: Cross multiply
    367,734.27x = 507,470.27 × 206,585.92
  4. Step 4: Simplify right side
    367,734.27x = 104,836,213,117.06
  5. Step 5: Solve for x
    x = 104,836,213,117.06/367,734.27
  6. Step 6: Final answer
    x = 285,086.88

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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.