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Finding the Fourth Proportional to 264,992.64, 397,479.78 and 75,454.20

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Solution

The fourth proportional to 264,992.64, 397,479.78 and 75,454.20 is: 113,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,992.64 : 397,479.78 = 75,454.20 : x
  2. Step 2: Convert to fraction form
    264,992.64/397,479.78 = 75,454.20/x
  3. Step 3: Cross multiply
    264,992.64x = 397,479.78 × 75,454.20
  4. Step 4: Simplify right side
    264,992.64x = 29,991,518,816.08
  5. Step 5: Solve for x
    x = 29,991,518,816.08/264,992.64
  6. Step 6: Final answer
    x = 113,178.69

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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.