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Finding the Fourth Proportional to 316,906.08, 475,039.26 and 198,660.48

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Solution

The fourth proportional to 316,906.08, 475,039.26 and 198,660.48 is: 297,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,906.08 : 475,039.26 = 198,660.48 : x
  2. Step 2: Convert to fraction form
    316,906.08/475,039.26 = 198,660.48/x
  3. Step 3: Cross multiply
    316,906.08x = 475,039.26 × 198,660.48
  4. Step 4: Simplify right side
    316,906.08x = 94,371,527,410.44
  5. Step 5: Solve for x
    x = 94,371,527,410.44/316,906.08
  6. Step 6: Final answer
    x = 297,790.21

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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.