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Finding the Fourth Proportional to 277,847.40, 416,771.16 and 67,485.36

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Solution

The fourth proportional to 277,847.40, 416,771.16 and 67,485.36 is: 101,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,847.40 : 416,771.16 = 67,485.36 : x
  2. Step 2: Convert to fraction form
    277,847.40/416,771.16 = 67,485.36/x
  3. Step 3: Cross multiply
    277,847.40x = 416,771.16 × 67,485.36
  4. Step 4: Simplify right side
    277,847.40x = 28,125,951,770.22
  5. Step 5: Solve for x
    x = 28,125,951,770.22/277,847.40
  6. Step 6: Final answer
    x = 101,228.05

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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.