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Finding the Fourth Proportional to 277,620.12, 416,507.94 and 111,524.76

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Solution

The fourth proportional to 277,620.12, 416,507.94 and 111,524.76 is: 167,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,620.12 : 416,507.94 = 111,524.76 : x
  2. Step 2: Convert to fraction form
    277,620.12/416,507.94 = 111,524.76/x
  3. Step 3: Cross multiply
    277,620.12x = 416,507.94 × 111,524.76
  4. Step 4: Simplify right side
    277,620.12x = 46,450,948,046.59
  5. Step 5: Solve for x
    x = 46,450,948,046.59/277,620.12
  6. Step 6: Final answer
    x = 167,318.38

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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.