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Finding the Fourth Proportional to 370,634.68, 511,475.76 and 200,868.82

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Solution

The fourth proportional to 370,634.68, 511,475.76 and 200,868.82 is: 277,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,634.68 : 511,475.76 = 200,868.82 : x
  2. Step 2: Convert to fraction form
    370,634.68/511,475.76 = 200,868.82/x
  3. Step 3: Cross multiply
    370,634.68x = 511,475.76 × 200,868.82
  4. Step 4: Simplify right side
    370,634.68x = 102,739,532,369.80
  5. Step 5: Solve for x
    x = 102,739,532,369.80/370,634.68
  6. Step 6: Final answer
    x = 277,198.92

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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.