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Finding the Fourth Proportional to 494,429.94, 682,199.01 and 333,583.38

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Solution

The fourth proportional to 494,429.94, 682,199.01 and 333,583.38 is: 460,267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,429.94 : 682,199.01 = 333,583.38 : x
  2. Step 2: Convert to fraction form
    494,429.94/682,199.01 = 333,583.38/x
  3. Step 3: Cross multiply
    494,429.94x = 682,199.01 × 333,583.38
  4. Step 4: Simplify right side
    494,429.94x = 227,570,251,588.45
  5. Step 5: Solve for x
    x = 227,570,251,588.45/494,429.94
  6. Step 6: Final answer
    x = 460,267.94

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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.