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Finding the Fourth Proportional to 703,277, 1,055,090.46 and 204,641

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Solution

The fourth proportional to 703,277, 1,055,090.46 and 204,641 is: 307,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,277 : 1,055,090.46 = 204,641 : x
  2. Step 2: Convert to fraction form
    703,277/1,055,090.46 = 204,641/x
  3. Step 3: Cross multiply
    703,277x = 1,055,090.46 × 204,641
  4. Step 4: Simplify right side
    703,277x = 215,914,766,824.86
  5. Step 5: Solve for x
    x = 215,914,766,824.86/703,277
  6. Step 6: Final answer
    x = 307,012.41

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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.