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Finding the Fourth Proportional to 270,184.92, 405,276.87 and 253,743.49

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Solution

The fourth proportional to 270,184.92, 405,276.87 and 253,743.49 is: 380,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,184.92 : 405,276.87 = 253,743.49 : x
  2. Step 2: Convert to fraction form
    270,184.92/405,276.87 = 253,743.49/x
  3. Step 3: Cross multiply
    270,184.92x = 405,276.87 × 253,743.49
  4. Step 4: Simplify right side
    270,184.92x = 102,836,365,161.22
  5. Step 5: Solve for x
    x = 102,836,365,161.22/270,184.92
  6. Step 6: Final answer
    x = 380,614.75

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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.