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Finding the Fourth Proportional to 263,629.50, 395,511.69 and 76,641

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Solution

The fourth proportional to 263,629.50, 395,511.69 and 76,641 is: 114,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,629.50 : 395,511.69 = 76,641 : x
  2. Step 2: Convert to fraction form
    263,629.50/395,511.69 = 76,641/x
  3. Step 3: Cross multiply
    263,629.50x = 395,511.69 × 76,641
  4. Step 4: Simplify right side
    263,629.50x = 30,312,411,433.29
  5. Step 5: Solve for x
    x = 30,312,411,433.29/263,629.50
  6. Step 6: Final answer
    x = 114,981.11

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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.