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Finding the Fourth Proportional to 270,630.40, 405,945.60 and 182,156.80

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Solution

The fourth proportional to 270,630.40, 405,945.60 and 182,156.80 is: 273,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,630.40 : 405,945.60 = 182,156.80 : x
  2. Step 2: Convert to fraction form
    270,630.40/405,945.60 = 182,156.80/x
  3. Step 3: Cross multiply
    270,630.40x = 405,945.60 × 182,156.80
  4. Step 4: Simplify right side
    270,630.40x = 73,945,751,470.08
  5. Step 5: Solve for x
    x = 73,945,751,470.08/270,630.40
  6. Step 6: Final answer
    x = 273,235.20

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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.