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Finding the Fourth Proportional to 264,086.58, 364,015.03 and 206,626.80

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Solution

The fourth proportional to 264,086.58, 364,015.03 and 206,626.80 is: 284,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,086.58 : 364,015.03 = 206,626.80 : x
  2. Step 2: Convert to fraction form
    264,086.58/364,015.03 = 206,626.80/x
  3. Step 3: Cross multiply
    264,086.58x = 364,015.03 × 206,626.80
  4. Step 4: Simplify right side
    264,086.58x = 75,215,260,800.80
  5. Step 5: Solve for x
    x = 75,215,260,800.80/264,086.58
  6. Step 6: Final answer
    x = 284,812.89

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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.