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Finding the Fourth Proportional to 311,584.38, 467,039.61 and 124,390.14

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Solution

The fourth proportional to 311,584.38, 467,039.61 and 124,390.14 is: 186,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,584.38 : 467,039.61 = 124,390.14 : x
  2. Step 2: Convert to fraction form
    311,584.38/467,039.61 = 124,390.14/x
  3. Step 3: Cross multiply
    311,584.38x = 467,039.61 × 124,390.14
  4. Step 4: Simplify right side
    311,584.38x = 58,095,122,473.45
  5. Step 5: Solve for x
    x = 58,095,122,473.45/311,584.38
  6. Step 6: Final answer
    x = 186,450.69

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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.