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Finding the Fourth Proportional to 263,316.96, 394,791.12 and 97,060.32

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Solution

The fourth proportional to 263,316.96, 394,791.12 and 97,060.32 is: 145,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,316.96 : 394,791.12 = 97,060.32 : x
  2. Step 2: Convert to fraction form
    263,316.96/394,791.12 = 97,060.32/x
  3. Step 3: Cross multiply
    263,316.96x = 394,791.12 × 97,060.32
  4. Step 4: Simplify right side
    263,316.96x = 38,318,552,440.36
  5. Step 5: Solve for x
    x = 38,318,552,440.36/263,316.96
  6. Step 6: Final answer
    x = 145,522.54

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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.