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Finding the Fourth Proportional to 370,634.38, 511,476.33 and 200,868.46

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Solution

The fourth proportional to 370,634.38, 511,476.33 and 200,868.46 is: 277,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,634.38 : 511,476.33 = 200,868.46 : x
  2. Step 2: Convert to fraction form
    370,634.38/511,476.33 = 200,868.46/x
  3. Step 3: Cross multiply
    370,634.38x = 511,476.33 × 200,868.46
  4. Step 4: Simplify right side
    370,634.38x = 102,739,462,733.55
  5. Step 5: Solve for x
    x = 102,739,462,733.55/370,634.38
  6. Step 6: Final answer
    x = 277,198.95

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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.