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Finding the Fourth Proportional to 519,183.14, 778,771.20 and 279,409.88

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Solution

The fourth proportional to 519,183.14, 778,771.20 and 279,409.88 is: 419,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,183.14 : 778,771.20 = 279,409.88 : x
  2. Step 2: Convert to fraction form
    519,183.14/778,771.20 = 279,409.88/x
  3. Step 3: Cross multiply
    519,183.14x = 778,771.20 × 279,409.88
  4. Step 4: Simplify right side
    519,183.14x = 217,596,367,539.46
  5. Step 5: Solve for x
    x = 217,596,367,539.46/519,183.14
  6. Step 6: Final answer
    x = 419,112.93

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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.