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Finding the Fourth Proportional to 649,869.63, 974,429.24 and 200,469.84

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Solution

The fourth proportional to 649,869.63, 974,429.24 and 200,469.84 is: 300,589.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,869.63 : 974,429.24 = 200,469.84 : x
  2. Step 2: Convert to fraction form
    649,869.63/974,429.24 = 200,469.84/x
  3. Step 3: Cross multiply
    649,869.63x = 974,429.24 × 200,469.84
  4. Step 4: Simplify right side
    649,869.63x = 195,343,672,831.77
  5. Step 5: Solve for x
    x = 195,343,672,831.77/649,869.63
  6. Step 6: Final answer
    x = 300,589.02

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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.