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Finding the Fourth Proportional to 277,573, 416,371.02 and 80,581

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Solution

The fourth proportional to 277,573, 416,371.02 and 80,581 is: 120,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,573 : 416,371.02 = 80,581 : x
  2. Step 2: Convert to fraction form
    277,573/416,371.02 = 80,581/x
  3. Step 3: Cross multiply
    277,573x = 416,371.02 × 80,581
  4. Step 4: Simplify right side
    277,573x = 33,551,593,162.62
  5. Step 5: Solve for x
    x = 33,551,593,162.62/277,573
  6. Step 6: Final answer
    x = 120,874.84

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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.