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Finding the Fourth Proportional to 311,786.46, 467,696.39 and 98,538.15

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Solution

The fourth proportional to 311,786.46, 467,696.39 and 98,538.15 is: 147,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,786.46 : 467,696.39 = 98,538.15 : x
  2. Step 2: Convert to fraction form
    311,786.46/467,696.39 = 98,538.15/x
  3. Step 3: Cross multiply
    311,786.46x = 467,696.39 × 98,538.15
  4. Step 4: Simplify right side
    311,786.46x = 46,085,936,539.59
  5. Step 5: Solve for x
    x = 46,085,936,539.59/311,786.46
  6. Step 6: Final answer
    x = 147,812.50

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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.