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Finding the Fourth Proportional to 231,472.58, 347,220.75 and 65,273.54

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Solution

The fourth proportional to 231,472.58, 347,220.75 and 65,273.54 is: 97,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,472.58 : 347,220.75 = 65,273.54 : x
  2. Step 2: Convert to fraction form
    231,472.58/347,220.75 = 65,273.54/x
  3. Step 3: Cross multiply
    231,472.58x = 347,220.75 × 65,273.54
  4. Step 4: Simplify right side
    231,472.58x = 22,664,327,513.96
  5. Step 5: Solve for x
    x = 22,664,327,513.96/231,472.58
  6. Step 6: Final answer
    x = 97,913.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.