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Finding the Fourth Proportional to 649,388.56, 974,174.34 and 200,145.76

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Solution

The fourth proportional to 649,388.56, 974,174.34 and 200,145.76 is: 300,246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,388.56 : 974,174.34 = 200,145.76 : x
  2. Step 2: Convert to fraction form
    649,388.56/974,174.34 = 200,145.76/x
  3. Step 3: Cross multiply
    649,388.56x = 974,174.34 × 200,145.76
  4. Step 4: Simplify right side
    649,388.56x = 194,976,863,651.80
  5. Step 5: Solve for x
    x = 194,976,863,651.80/649,388.56
  6. Step 6: Final answer
    x = 300,246.84

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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.