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Finding the Fourth Proportional to 264,911.22, 397,367.73 and 65,236.32

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Solution

The fourth proportional to 264,911.22, 397,367.73 and 65,236.32 is: 97,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,911.22 : 397,367.73 = 65,236.32 : x
  2. Step 2: Convert to fraction form
    264,911.22/397,367.73 = 65,236.32/x
  3. Step 3: Cross multiply
    264,911.22x = 397,367.73 × 65,236.32
  4. Step 4: Simplify right side
    264,911.22x = 25,922,808,391.95
  5. Step 5: Solve for x
    x = 25,922,808,391.95/264,911.22
  6. Step 6: Final answer
    x = 97,854.70

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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.