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Finding the Fourth Proportional to 264,946.89, 397,420.44 and 65,271.16

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Solution

The fourth proportional to 264,946.89, 397,420.44 and 65,271.16 is: 97,906.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,946.89 : 397,420.44 = 65,271.16 : x
  2. Step 2: Convert to fraction form
    264,946.89/397,420.44 = 65,271.16/x
  3. Step 3: Cross multiply
    264,946.89x = 397,420.44 × 65,271.16
  4. Step 4: Simplify right side
    264,946.89x = 25,940,090,813.05
  5. Step 5: Solve for x
    x = 25,940,090,813.05/264,946.89
  6. Step 6: Final answer
    x = 97,906.76

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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.