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Finding the Fourth Proportional to 270,282.24, 405,469.44 and 83,289.60

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Solution

The fourth proportional to 270,282.24, 405,469.44 and 83,289.60 is: 124,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,282.24 : 405,469.44 = 83,289.60 : x
  2. Step 2: Convert to fraction form
    270,282.24/405,469.44 = 83,289.60/x
  3. Step 3: Cross multiply
    270,282.24x = 405,469.44 × 83,289.60
  4. Step 4: Simplify right side
    270,282.24x = 33,771,387,469.82
  5. Step 5: Solve for x
    x = 33,771,387,469.82/270,282.24
  6. Step 6: Final answer
    x = 124,948.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.