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Finding the Fourth Proportional to 311,912.70, 467,869.05 and 278,670.30

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Solution

The fourth proportional to 311,912.70, 467,869.05 and 278,670.30 is: 418,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,912.70 : 467,869.05 = 278,670.30 : x
  2. Step 2: Convert to fraction form
    311,912.70/467,869.05 = 278,670.30/x
  3. Step 3: Cross multiply
    311,912.70x = 467,869.05 × 278,670.30
  4. Step 4: Simplify right side
    311,912.70x = 130,381,208,524.22
  5. Step 5: Solve for x
    x = 130,381,208,524.22/311,912.70
  6. Step 6: Final answer
    x = 418,005.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.