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Finding the Fourth Proportional to 494,769, 682,359.64 and 380,324.64

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Solution

The fourth proportional to 494,769, 682,359.64 and 380,324.64 is: 524,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,769 : 682,359.64 = 380,324.64 : x
  2. Step 2: Convert to fraction form
    494,769/682,359.64 = 380,324.64/x
  3. Step 3: Cross multiply
    494,769x = 682,359.64 × 380,324.64
  4. Step 4: Simplify right side
    494,769x = 259,518,184,433.53
  5. Step 5: Solve for x
    x = 259,518,184,433.53/494,769
  6. Step 6: Final answer
    x = 524,523.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.