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Finding the Fourth Proportional to 264,968.46, 397,392.96 and 75,424.62

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Solution

The fourth proportional to 264,968.46, 397,392.96 and 75,424.62 is: 113,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,968.46 : 397,392.96 = 75,424.62 : x
  2. Step 2: Convert to fraction form
    264,968.46/397,392.96 = 75,424.62/x
  3. Step 3: Cross multiply
    264,968.46x = 397,392.96 × 75,424.62
  4. Step 4: Simplify right side
    264,968.46x = 29,973,214,771.74
  5. Step 5: Solve for x
    x = 29,973,214,771.74/264,968.46
  6. Step 6: Final answer
    x = 113,119.93

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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.