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Finding the Fourth Proportional to 209,455.41, 311,814.26 and 208,210.04

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Solution

The fourth proportional to 209,455.41, 311,814.26 and 208,210.04 is: 309,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,455.41 : 311,814.26 = 208,210.04 : x
  2. Step 2: Convert to fraction form
    209,455.41/311,814.26 = 208,210.04/x
  3. Step 3: Cross multiply
    209,455.41x = 311,814.26 × 208,210.04
  4. Step 4: Simplify right side
    209,455.41x = 64,922,858,508.62
  5. Step 5: Solve for x
    x = 64,922,858,508.62/209,455.41
  6. Step 6: Final answer
    x = 309,960.28

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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.