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Finding the Fourth Proportional to 347,647.23, 479,543.67 and 204,289.38

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Solution

The fourth proportional to 347,647.23, 479,543.67 and 204,289.38 is: 281,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,647.23 : 479,543.67 = 204,289.38 : x
  2. Step 2: Convert to fraction form
    347,647.23/479,543.67 = 204,289.38/x
  3. Step 3: Cross multiply
    347,647.23x = 479,543.67 × 204,289.38
  4. Step 4: Simplify right side
    347,647.23x = 97,965,679,027.22
  5. Step 5: Solve for x
    x = 97,965,679,027.22/347,647.23
  6. Step 6: Final answer
    x = 281,796.23

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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.