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Finding the Fourth Proportional to 517,170.60, 774,093.78 and 276,684.48

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Solution

The fourth proportional to 517,170.60, 774,093.78 and 276,684.48 is: 414,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,170.60 : 774,093.78 = 276,684.48 : x
  2. Step 2: Convert to fraction form
    517,170.60/774,093.78 = 276,684.48/x
  3. Step 3: Cross multiply
    517,170.60x = 774,093.78 × 276,684.48
  4. Step 4: Simplify right side
    517,170.60x = 214,179,734,990.53
  5. Step 5: Solve for x
    x = 214,179,734,990.53/517,170.60
  6. Step 6: Final answer
    x = 414,137.49

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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.