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Finding the Fourth Proportional to 277,656.94, 416,485.41 and 67,294.87

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Solution

The fourth proportional to 277,656.94, 416,485.41 and 67,294.87 is: 100,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,656.94 : 416,485.41 = 67,294.87 : x
  2. Step 2: Convert to fraction form
    277,656.94/416,485.41 = 67,294.87/x
  3. Step 3: Cross multiply
    277,656.94x = 416,485.41 × 67,294.87
  4. Step 4: Simplify right side
    277,656.94x = 28,027,331,522.85
  5. Step 5: Solve for x
    x = 28,027,331,522.85/277,656.94
  6. Step 6: Final answer
    x = 100,942.31

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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.