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Finding the Fourth Proportional to 348,076.74, 480,336.57 and 204,845.22

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Solution

The fourth proportional to 348,076.74, 480,336.57 and 204,845.22 is: 282,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,076.74 : 480,336.57 = 204,845.22 : x
  2. Step 2: Convert to fraction form
    348,076.74/480,336.57 = 204,845.22/x
  3. Step 3: Cross multiply
    348,076.74x = 480,336.57 × 204,845.22
  4. Step 4: Simplify right side
    348,076.74x = 98,394,650,355.70
  5. Step 5: Solve for x
    x = 98,394,650,355.70/348,076.74
  6. Step 6: Final answer
    x = 282,680.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.