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Finding the Fourth Proportional to 317,471.84, 438,247.79 and 194,984.06

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Solution

The fourth proportional to 317,471.84, 438,247.79 and 194,984.06 is: 269,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,471.84 : 438,247.79 = 194,984.06 : x
  2. Step 2: Convert to fraction form
    317,471.84/438,247.79 = 194,984.06/x
  3. Step 3: Cross multiply
    317,471.84x = 438,247.79 × 194,984.06
  4. Step 4: Simplify right side
    317,471.84x = 85,451,333,380.23
  5. Step 5: Solve for x
    x = 85,451,333,380.23/317,471.84
  6. Step 6: Final answer
    x = 269,161.93

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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.