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Finding the Fourth Proportional to 482,549.34, 665,911.90 and 261,783.38

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Solution

The fourth proportional to 482,549.34, 665,911.90 and 261,783.38 is: 361,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,549.34 : 665,911.90 = 261,783.38 : x
  2. Step 2: Convert to fraction form
    482,549.34/665,911.90 = 261,783.38/x
  3. Step 3: Cross multiply
    482,549.34x = 665,911.90 × 261,783.38
  4. Step 4: Simplify right side
    482,549.34x = 174,324,667,964.22
  5. Step 5: Solve for x
    x = 174,324,667,964.22/482,549.34
  6. Step 6: Final answer
    x = 361,257.71

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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.