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Finding the Fourth Proportional to 264,990.64, 397,476.78 and 75,452.20

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Solution

The fourth proportional to 264,990.64, 397,476.78 and 75,452.20 is: 113,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,990.64 : 397,476.78 = 75,452.20 : x
  2. Step 2: Convert to fraction form
    264,990.64/397,476.78 = 75,452.20/x
  3. Step 3: Cross multiply
    264,990.64x = 397,476.78 × 75,452.20
  4. Step 4: Simplify right side
    264,990.64x = 29,990,497,499.92
  5. Step 5: Solve for x
    x = 29,990,497,499.92/264,990.64
  6. Step 6: Final answer
    x = 113,175.69

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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.