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Finding the Fourth Proportional to 205,090.60, 286,427 and 205,090.60

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Solution

The fourth proportional to 205,090.60, 286,427 and 205,090.60 is: 286,427

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,090.60 : 286,427 = 205,090.60 : x
  2. Step 2: Convert to fraction form
    205,090.60/286,427 = 205,090.60/x
  3. Step 3: Cross multiply
    205,090.60x = 286,427 × 205,090.60
  4. Step 4: Simplify right side
    205,090.60x = 58,743,485,286.20
  5. Step 5: Solve for x
    x = 58,743,485,286.20/205,090.60
  6. Step 6: Final answer
    x = 286,427

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.