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Finding the Fourth Proportional to 209,454.66, 311,813.15 and 208,209.29

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Solution

The fourth proportional to 209,454.66, 311,813.15 and 208,209.29 is: 309,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,454.66 : 311,813.15 = 208,209.29 : x
  2. Step 2: Convert to fraction form
    209,454.66/311,813.15 = 208,209.29/x
  3. Step 3: Cross multiply
    209,454.66x = 311,813.15 × 208,209.29
  4. Step 4: Simplify right side
    209,454.66x = 64,922,391,974.05
  5. Step 5: Solve for x
    x = 64,922,391,974.05/209,454.66
  6. Step 6: Final answer
    x = 309,959.17

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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.