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Finding the Fourth Proportional to 599,084.82, 826,843.84 and 354,059.57

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Solution

The fourth proportional to 599,084.82, 826,843.84 and 354,059.57 is: 488,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,084.82 : 826,843.84 = 354,059.57 : x
  2. Step 2: Convert to fraction form
    599,084.82/826,843.84 = 354,059.57/x
  3. Step 3: Cross multiply
    599,084.82x = 826,843.84 × 354,059.57
  4. Step 4: Simplify right side
    599,084.82x = 292,751,975,629.51
  5. Step 5: Solve for x
    x = 292,751,975,629.51/599,084.82
  6. Step 6: Final answer
    x = 488,665.32

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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.