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Finding the Fourth Proportional to 264,830.44, 397,257.74 and 87,352.92

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Solution

The fourth proportional to 264,830.44, 397,257.74 and 87,352.92 is: 131,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830.44 : 397,257.74 = 87,352.92 : x
  2. Step 2: Convert to fraction form
    264,830.44/397,257.74 = 87,352.92/x
  3. Step 3: Cross multiply
    264,830.44x = 397,257.74 × 87,352.92
  4. Step 4: Simplify right side
    264,830.44x = 34,701,623,581.60
  5. Step 5: Solve for x
    x = 34,701,623,581.60/264,830.44
  6. Step 6: Final answer
    x = 131,033.36

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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.