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Finding the Fourth Proportional to 275,743.44, 413,650.80 and 98,301.60

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Solution

The fourth proportional to 275,743.44, 413,650.80 and 98,301.60 is: 147,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,743.44 : 413,650.80 = 98,301.60 : x
  2. Step 2: Convert to fraction form
    275,743.44/413,650.80 = 98,301.60/x
  3. Step 3: Cross multiply
    275,743.44x = 413,650.80 × 98,301.60
  4. Step 4: Simplify right side
    275,743.44x = 40,662,535,481.28
  5. Step 5: Solve for x
    x = 40,662,535,481.28/275,743.44
  6. Step 6: Final answer
    x = 147,465.11

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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.