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Finding the Fourth Proportional to 303,770.40, 455,291.10 and 209,000.40

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Solution

The fourth proportional to 303,770.40, 455,291.10 and 209,000.40 is: 313,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,770.40 : 455,291.10 = 209,000.40 : x
  2. Step 2: Convert to fraction form
    303,770.40/455,291.10 = 209,000.40/x
  3. Step 3: Cross multiply
    303,770.40x = 455,291.10 × 209,000.40
  4. Step 4: Simplify right side
    303,770.40x = 95,156,022,016.44
  5. Step 5: Solve for x
    x = 95,156,022,016.44/303,770.40
  6. Step 6: Final answer
    x = 313,249.82

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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.