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Finding the Fourth Proportional to 264,820.80, 397,231.20 and 262,977.60

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Solution

The fourth proportional to 264,820.80, 397,231.20 and 262,977.60 is: 394,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,820.80 : 397,231.20 = 262,977.60 : x
  2. Step 2: Convert to fraction form
    264,820.80/397,231.20 = 262,977.60/x
  3. Step 3: Cross multiply
    264,820.80x = 397,231.20 × 262,977.60
  4. Step 4: Simplify right side
    264,820.80x = 104,462,907,621.12
  5. Step 5: Solve for x
    x = 104,462,907,621.12/264,820.80
  6. Step 6: Final answer
    x = 394,466.40

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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.