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Finding the Fourth Proportional to 361,222.22, 498,494.72 and 206,170.40

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Solution

The fourth proportional to 361,222.22, 498,494.72 and 206,170.40 is: 284,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,222.22 : 498,494.72 = 206,170.40 : x
  2. Step 2: Convert to fraction form
    361,222.22/498,494.72 = 206,170.40/x
  3. Step 3: Cross multiply
    361,222.22x = 498,494.72 × 206,170.40
  4. Step 4: Simplify right side
    361,222.22x = 102,774,854,777.92
  5. Step 5: Solve for x
    x = 102,774,854,777.92/361,222.22
  6. Step 6: Final answer
    x = 284,519.75

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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.