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Finding the Fourth Proportional to 264,916.22, 397,375.24 and 65,241.32

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Solution

The fourth proportional to 264,916.22, 397,375.24 and 65,241.32 is: 97,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,916.22 : 397,375.24 = 65,241.32 : x
  2. Step 2: Convert to fraction form
    264,916.22/397,375.24 = 65,241.32/x
  3. Step 3: Cross multiply
    264,916.22x = 397,375.24 × 65,241.32
  4. Step 4: Simplify right side
    264,916.22x = 25,925,285,192.92
  5. Step 5: Solve for x
    x = 25,925,285,192.92/264,916.22
  6. Step 6: Final answer
    x = 97,862.20

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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.