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Finding the Fourth Proportional to 253,029.44, 348,898.08 and 206,945.60

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Solution

The fourth proportional to 253,029.44, 348,898.08 and 206,945.60 is: 285,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,029.44 : 348,898.08 = 206,945.60 : x
  2. Step 2: Convert to fraction form
    253,029.44/348,898.08 = 206,945.60/x
  3. Step 3: Cross multiply
    253,029.44x = 348,898.08 × 206,945.60
  4. Step 4: Simplify right side
    253,029.44x = 72,202,922,504.45
  5. Step 5: Solve for x
    x = 72,202,922,504.45/253,029.44
  6. Step 6: Final answer
    x = 285,353.84

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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.