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Finding the Fourth Proportional to 270,940.60, 405,633.30 and 165,964.60

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Solution

The fourth proportional to 270,940.60, 405,633.30 and 165,964.60 is: 248,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,940.60 : 405,633.30 = 165,964.60 : x
  2. Step 2: Convert to fraction form
    270,940.60/405,633.30 = 165,964.60/x
  3. Step 3: Cross multiply
    270,940.60x = 405,633.30 × 165,964.60
  4. Step 4: Simplify right side
    270,940.60x = 67,320,768,381.18
  5. Step 5: Solve for x
    x = 67,320,768,381.18/270,940.60
  6. Step 6: Final answer
    x = 248,470.58

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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.