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Finding the Fourth Proportional to 263,628, 395,509.43 and 76,639.50

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Solution

The fourth proportional to 263,628, 395,509.43 and 76,639.50 is: 114,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,628 : 395,509.43 = 76,639.50 : x
  2. Step 2: Convert to fraction form
    263,628/395,509.43 = 76,639.50/x
  3. Step 3: Cross multiply
    263,628x = 395,509.43 × 76,639.50
  4. Step 4: Simplify right side
    263,628x = 30,311,645,152.08
  5. Step 5: Solve for x
    x = 30,311,645,152.08/263,628
  6. Step 6: Final answer
    x = 114,978.85

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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.