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Finding the Fourth Proportional to 347,982.73, 480,193.44 and 204,715.10

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Solution

The fourth proportional to 347,982.73, 480,193.44 and 204,715.10 is: 282,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,982.73 : 480,193.44 = 204,715.10 : x
  2. Step 2: Convert to fraction form
    347,982.73/480,193.44 = 204,715.10/x
  3. Step 3: Cross multiply
    347,982.73x = 480,193.44 × 204,715.10
  4. Step 4: Simplify right side
    347,982.73x = 98,302,846,396.42
  5. Step 5: Solve for x
    x = 98,302,846,396.42/347,982.73
  6. Step 6: Final answer
    x = 282,493.46

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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.