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Finding the Fourth Proportional to 505,640.43, 758,573.78 and 190,100.07

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Solution

The fourth proportional to 505,640.43, 758,573.78 and 190,100.07 is: 285,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,640.43 : 758,573.78 = 190,100.07 : x
  2. Step 2: Convert to fraction form
    505,640.43/758,573.78 = 190,100.07/x
  3. Step 3: Cross multiply
    505,640.43x = 758,573.78 × 190,100.07
  4. Step 4: Simplify right side
    505,640.43x = 144,204,930,574.60
  5. Step 5: Solve for x
    x = 144,204,930,574.60/505,640.43
  6. Step 6: Final answer
    x = 285,192.64

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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.