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Finding the Fourth Proportional to 499,812.14, 689,757.96 and 273,457.64

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Solution

The fourth proportional to 499,812.14, 689,757.96 and 273,457.64 is: 377,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,812.14 : 689,757.96 = 273,457.64 : x
  2. Step 2: Convert to fraction form
    499,812.14/689,757.96 = 273,457.64/x
  3. Step 3: Cross multiply
    499,812.14x = 689,757.96 × 273,457.64
  4. Step 4: Simplify right side
    499,812.14x = 188,619,583,912.81
  5. Step 5: Solve for x
    x = 188,619,583,912.81/499,812.14
  6. Step 6: Final answer
    x = 377,380.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.