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Finding the Fourth Proportional to 370,633.68, 511,474.38 and 200,867.82

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Solution

The fourth proportional to 370,633.68, 511,474.38 and 200,867.82 is: 277,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,633.68 : 511,474.38 = 200,867.82 : x
  2. Step 2: Convert to fraction form
    370,633.68/511,474.38 = 200,867.82/x
  3. Step 3: Cross multiply
    370,633.68x = 511,474.38 × 200,867.82
  4. Step 4: Simplify right side
    370,633.68x = 102,738,743,696.45
  5. Step 5: Solve for x
    x = 102,738,743,696.45/370,633.68
  6. Step 6: Final answer
    x = 277,197.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.