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Finding the Fourth Proportional to 327,408.90, 451,886.32 and 204,958.20

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Solution

The fourth proportional to 327,408.90, 451,886.32 and 204,958.20 is: 282,881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,408.90 : 451,886.32 = 204,958.20 : x
  2. Step 2: Convert to fraction form
    327,408.90/451,886.32 = 204,958.20/x
  3. Step 3: Cross multiply
    327,408.90x = 451,886.32 × 204,958.20
  4. Step 4: Simplify right side
    327,408.90x = 92,617,806,751.82
  5. Step 5: Solve for x
    x = 92,617,806,751.82/327,408.90
  6. Step 6: Final answer
    x = 282,881.15

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1.5x scale

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.