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Finding the Fourth Proportional to 649,783.50, 974,467.96 and 223,216.46

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Solution

The fourth proportional to 649,783.50, 974,467.96 and 223,216.46 is: 334,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,783.50 : 974,467.96 = 223,216.46 : x
  2. Step 2: Convert to fraction form
    649,783.50/974,467.96 = 223,216.46/x
  3. Step 3: Cross multiply
    649,783.50x = 974,467.96 × 223,216.46
  4. Step 4: Simplify right side
    649,783.50x = 217,517,288,414.62
  5. Step 5: Solve for x
    x = 217,517,288,414.62/649,783.50
  6. Step 6: Final answer
    x = 334,753.48

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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.