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Finding the Fourth Proportional to 298,256.12, 411,593.44 and 164,120.12

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Solution

The fourth proportional to 298,256.12, 411,593.44 and 164,120.12 is: 226,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,256.12 : 411,593.44 = 164,120.12 : x
  2. Step 2: Convert to fraction form
    298,256.12/411,593.44 = 164,120.12/x
  3. Step 3: Cross multiply
    298,256.12x = 411,593.44 × 164,120.12
  4. Step 4: Simplify right side
    298,256.12x = 67,550,764,764.01
  5. Step 5: Solve for x
    x = 67,550,764,764.01/298,256.12
  6. Step 6: Final answer
    x = 226,485.76

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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.