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Finding the Fourth Proportional to 209,446.17, 311,800.19 and 208,200.60

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Solution

The fourth proportional to 209,446.17, 311,800.19 and 208,200.60 is: 309,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,446.17 : 311,800.19 = 208,200.60 : x
  2. Step 2: Convert to fraction form
    209,446.17/311,800.19 = 208,200.60/x
  3. Step 3: Cross multiply
    209,446.17x = 311,800.19 × 208,200.60
  4. Step 4: Simplify right side
    209,446.17x = 64,916,985,597.11
  5. Step 5: Solve for x
    x = 64,916,985,597.11/209,446.17
  6. Step 6: Final answer
    x = 309,945.92

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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.