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Finding the Fourth Proportional to 209,428.92, 311,774.69 and 208,183.38

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Solution

The fourth proportional to 209,428.92, 311,774.69 and 208,183.38 is: 309,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,428.92 : 311,774.69 = 208,183.38 : x
  2. Step 2: Convert to fraction form
    209,428.92/311,774.69 = 208,183.38/x
  3. Step 3: Cross multiply
    209,428.92x = 311,774.69 × 208,183.38
  4. Step 4: Simplify right side
    209,428.92x = 64,906,308,762.65
  5. Step 5: Solve for x
    x = 64,906,308,762.65/209,428.92
  6. Step 6: Final answer
    x = 309,920.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.