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Finding the Fourth Proportional to 370,631.68, 511,471.62 and 200,865.82

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Solution

The fourth proportional to 370,631.68, 511,471.62 and 200,865.82 is: 277,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,631.68 : 511,471.62 = 200,865.82 : x
  2. Step 2: Convert to fraction form
    370,631.68/511,471.62 = 200,865.82/x
  3. Step 3: Cross multiply
    370,631.68x = 511,471.62 × 200,865.82
  4. Step 4: Simplify right side
    370,631.68x = 102,737,166,358.03
  5. Step 5: Solve for x
    x = 102,737,166,358.03/370,631.68
  6. Step 6: Final answer
    x = 277,194.78

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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.