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Finding the Fourth Proportional to 565,183.50, 779,777.28 and 347,163.54

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Solution

The fourth proportional to 565,183.50, 779,777.28 and 347,163.54 is: 478,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,183.50 : 779,777.28 = 347,163.54 : x
  2. Step 2: Convert to fraction form
    565,183.50/779,777.28 = 347,163.54/x
  3. Step 3: Cross multiply
    565,183.50x = 779,777.28 × 347,163.54
  4. Step 4: Simplify right side
    565,183.50x = 270,710,240,936.37
  5. Step 5: Solve for x
    x = 270,710,240,936.37/565,183.50
  6. Step 6: Final answer
    x = 478,977.61

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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.