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Finding the Fourth Proportional to 277,658.63, 416,487.94 and 67,296.57

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Solution

The fourth proportional to 277,658.63, 416,487.94 and 67,296.57 is: 100,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,658.63 : 416,487.94 = 67,296.57 : x
  2. Step 2: Convert to fraction form
    277,658.63/416,487.94 = 67,296.57/x
  3. Step 3: Cross multiply
    277,658.63x = 416,487.94 × 67,296.57
  4. Step 4: Simplify right side
    277,658.63x = 28,028,209,808.37
  5. Step 5: Solve for x
    x = 28,028,209,808.37/277,658.63
  6. Step 6: Final answer
    x = 100,944.85

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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.