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Finding the Fourth Proportional to 305,696.70, 458,544.69 and 200,491.05

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Solution

The fourth proportional to 305,696.70, 458,544.69 and 200,491.05 is: 300,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,696.70 : 458,544.69 = 200,491.05 : x
  2. Step 2: Convert to fraction form
    305,696.70/458,544.69 = 200,491.05/x
  3. Step 3: Cross multiply
    305,696.70x = 458,544.69 × 200,491.05
  4. Step 4: Simplify right side
    305,696.70x = 91,934,106,370.02
  5. Step 5: Solve for x
    x = 91,934,106,370.02/305,696.70
  6. Step 6: Final answer
    x = 300,736.34

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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.