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Finding the Fourth Proportional to 446,895.37, 669,445.52 and 206,672.55

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Solution

The fourth proportional to 446,895.37, 669,445.52 and 206,672.55 is: 309,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,895.37 : 669,445.52 = 206,672.55 : x
  2. Step 2: Convert to fraction form
    446,895.37/669,445.52 = 206,672.55/x
  3. Step 3: Cross multiply
    446,895.37x = 669,445.52 × 206,672.55
  4. Step 4: Simplify right side
    446,895.37x = 138,356,012,704.48
  5. Step 5: Solve for x
    x = 138,356,012,704.48/446,895.37
  6. Step 6: Final answer
    x = 309,593.75

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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.