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Finding the Fourth Proportional to 519,762.42, 779,709.24 and 182,723.85

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Solution

The fourth proportional to 519,762.42, 779,709.24 and 182,723.85 is: 274,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,762.42 : 779,709.24 = 182,723.85 : x
  2. Step 2: Convert to fraction form
    519,762.42/779,709.24 = 182,723.85/x
  3. Step 3: Cross multiply
    519,762.42x = 779,709.24 × 182,723.85
  4. Step 4: Simplify right side
    519,762.42x = 142,471,474,213.37
  5. Step 5: Solve for x
    x = 142,471,474,213.37/519,762.42
  6. Step 6: Final answer
    x = 274,108.84

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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.