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Finding the Fourth Proportional to 229,717.80, 343,604.70 and 206,195.40

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Solution

The fourth proportional to 229,717.80, 343,604.70 and 206,195.40 is: 308,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,717.80 : 343,604.70 = 206,195.40 : x
  2. Step 2: Convert to fraction form
    229,717.80/343,604.70 = 206,195.40/x
  3. Step 3: Cross multiply
    229,717.80x = 343,604.70 × 206,195.40
  4. Step 4: Simplify right side
    229,717.80x = 70,849,708,558.38
  5. Step 5: Solve for x
    x = 70,849,708,558.38/229,717.80
  6. Step 6: Final answer
    x = 308,420.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.