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Finding the Fourth Proportional to 348,078.12, 480,336.48 and 204,846

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Solution

The fourth proportional to 348,078.12, 480,336.48 and 204,846 is: 282,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,078.12 : 480,336.48 = 204,846 : x
  2. Step 2: Convert to fraction form
    348,078.12/480,336.48 = 204,846/x
  3. Step 3: Cross multiply
    348,078.12x = 480,336.48 × 204,846
  4. Step 4: Simplify right side
    348,078.12x = 98,395,006,582.08
  5. Step 5: Solve for x
    x = 98,395,006,582.08/348,078.12
  6. Step 6: Final answer
    x = 282,680.81

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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.