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Finding the Fourth Proportional to 649,511.46, 974,234.25 and 223,086.42

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Solution

The fourth proportional to 649,511.46, 974,234.25 and 223,086.42 is: 334,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,511.46 : 974,234.25 = 223,086.42 : x
  2. Step 2: Convert to fraction form
    649,511.46/974,234.25 = 223,086.42/x
  3. Step 3: Cross multiply
    649,511.46x = 974,234.25 × 223,086.42
  4. Step 4: Simplify right side
    649,511.46x = 217,338,431,073.89
  5. Step 5: Solve for x
    x = 217,338,431,073.89/649,511.46
  6. Step 6: Final answer
    x = 334,618.32

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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.