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Finding the Fourth Proportional to 264,930.72, 397,396.98 and 65,255.82

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Solution

The fourth proportional to 264,930.72, 397,396.98 and 65,255.82 is: 97,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,930.72 : 397,396.98 = 65,255.82 : x
  2. Step 2: Convert to fraction form
    264,930.72/397,396.98 = 65,255.82/x
  3. Step 3: Cross multiply
    264,930.72x = 397,396.98 × 65,255.82
  4. Step 4: Simplify right side
    264,930.72x = 25,932,465,795.42
  5. Step 5: Solve for x
    x = 25,932,465,795.42/264,930.72
  6. Step 6: Final answer
    x = 97,883.95

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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.