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Finding the Fourth Proportional to 348,104.98, 480,348.78 and 204,856.48

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Solution

The fourth proportional to 348,104.98, 480,348.78 and 204,856.48 is: 282,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,104.98 : 480,348.78 = 204,856.48 : x
  2. Step 2: Convert to fraction form
    348,104.98/480,348.78 = 204,856.48/x
  3. Step 3: Cross multiply
    348,104.98x = 480,348.78 × 204,856.48
  4. Step 4: Simplify right side
    348,104.98x = 98,402,560,243.09
  5. Step 5: Solve for x
    x = 98,402,560,243.09/348,104.98
  6. Step 6: Final answer
    x = 282,680.70

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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.