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Finding the Fourth Proportional to 366,685.38, 506,049.20 and 205,540.46

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Solution

The fourth proportional to 366,685.38, 506,049.20 and 205,540.46 is: 283,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,685.38 : 506,049.20 = 205,540.46 : x
  2. Step 2: Convert to fraction form
    366,685.38/506,049.20 = 205,540.46/x
  3. Step 3: Cross multiply
    366,685.38x = 506,049.20 × 205,540.46
  4. Step 4: Simplify right side
    366,685.38x = 104,013,585,350.63
  5. Step 5: Solve for x
    x = 104,013,585,350.63/366,685.38
  6. Step 6: Final answer
    x = 283,658.94

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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.