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Finding the Fourth Proportional to 264,739.14, 397,105.29 and 65,061.30

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Solution

The fourth proportional to 264,739.14, 397,105.29 and 65,061.30 is: 97,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,739.14 : 397,105.29 = 65,061.30 : x
  2. Step 2: Convert to fraction form
    264,739.14/397,105.29 = 65,061.30/x
  3. Step 3: Cross multiply
    264,739.14x = 397,105.29 × 65,061.30
  4. Step 4: Simplify right side
    264,739.14x = 25,836,186,404.28
  5. Step 5: Solve for x
    x = 25,836,186,404.28/264,739.14
  6. Step 6: Final answer
    x = 97,591.11

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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.