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Finding the Fourth Proportional to 313,367.94, 470,688.57 and 276,757.56

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Solution

The fourth proportional to 313,367.94, 470,688.57 and 276,757.56 is: 415,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,367.94 : 470,688.57 = 276,757.56 : x
  2. Step 2: Convert to fraction form
    313,367.94/470,688.57 = 276,757.56/x
  3. Step 3: Cross multiply
    313,367.94x = 470,688.57 × 276,757.56
  4. Step 4: Simplify right side
    313,367.94x = 130,266,620,153.09
  5. Step 5: Solve for x
    x = 130,266,620,153.09/313,367.94
  6. Step 6: Final answer
    x = 415,698.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.