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Finding the Fourth Proportional to 351,408.84, 484,912.96 and 208,145.76

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Solution

The fourth proportional to 351,408.84, 484,912.96 and 208,145.76 is: 287,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,408.84 : 484,912.96 = 208,145.76 : x
  2. Step 2: Convert to fraction form
    351,408.84/484,912.96 = 208,145.76/x
  3. Step 3: Cross multiply
    351,408.84x = 484,912.96 × 208,145.76
  4. Step 4: Simplify right side
    351,408.84x = 100,932,576,593.05
  5. Step 5: Solve for x
    x = 100,932,576,593.05/351,408.84
  6. Step 6: Final answer
    x = 287,222.65

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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.