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Finding the Fourth Proportional to 446,894.86, 669,444.77 and 206,672.05

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Solution

The fourth proportional to 446,894.86, 669,444.77 and 206,672.05 is: 309,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,894.86 : 669,444.77 = 206,672.05 : x
  2. Step 2: Convert to fraction form
    446,894.86/669,444.77 = 206,672.05/x
  3. Step 3: Cross multiply
    446,894.86x = 669,444.77 × 206,672.05
  4. Step 4: Simplify right side
    446,894.86x = 138,355,522,977.68
  5. Step 5: Solve for x
    x = 138,355,522,977.68/446,894.86
  6. Step 6: Final answer
    x = 309,593.01

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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.