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Finding the Fourth Proportional to 277,936, 416,927.04 and 80,944

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Solution

The fourth proportional to 277,936, 416,927.04 and 80,944 is: 121,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,936 : 416,927.04 = 80,944 : x
  2. Step 2: Convert to fraction form
    277,936/416,927.04 = 80,944/x
  3. Step 3: Cross multiply
    277,936x = 416,927.04 × 80,944
  4. Step 4: Simplify right side
    277,936x = 33,747,742,325.76
  5. Step 5: Solve for x
    x = 33,747,742,325.76/277,936
  6. Step 6: Final answer
    x = 121,422.71

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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.