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Finding the Fourth Proportional to 446,893.86, 669,443.27 and 206,671.05

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Solution

The fourth proportional to 446,893.86, 669,443.27 and 206,671.05 is: 309,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,893.86 : 669,443.27 = 206,671.05 : x
  2. Step 2: Convert to fraction form
    446,893.86/669,443.27 = 206,671.05/x
  3. Step 3: Cross multiply
    446,893.86x = 669,443.27 × 206,671.05
  4. Step 4: Simplify right side
    446,893.86x = 138,354,544,043.01
  5. Step 5: Solve for x
    x = 138,354,544,043.01/446,893.86
  6. Step 6: Final answer
    x = 309,591.51

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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.