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Finding the Fourth Proportional to 5,296,694.06, 7,945,114.89 and 1,510,176.94

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Solution

The fourth proportional to 5,296,694.06, 7,945,114.89 and 1,510,176.94 is: 2,265,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296,694.06 : 7,945,114.89 = 1,510,176.94 : x
  2. Step 2: Convert to fraction form
    5,296,694.06/7,945,114.89 = 1,510,176.94/x
  3. Step 3: Cross multiply
    5,296,694.06x = 7,945,114.89 × 1,510,176.94
  4. Step 4: Simplify right side
    5,296,694.06x = 11,998,529,278,329.01
  5. Step 5: Solve for x
    x = 11,998,529,278,329.01/5,296,694.06
  6. Step 6: Final answer
    x = 2,265,286.45

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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.