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Finding the Fourth Proportional to 275,744.44, 413,652.30 and 98,302.60

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Solution

The fourth proportional to 275,744.44, 413,652.30 and 98,302.60 is: 147,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,744.44 : 413,652.30 = 98,302.60 : x
  2. Step 2: Convert to fraction form
    275,744.44/413,652.30 = 98,302.60/x
  3. Step 3: Cross multiply
    275,744.44x = 413,652.30 × 98,302.60
  4. Step 4: Simplify right side
    275,744.44x = 40,663,096,585.98
  5. Step 5: Solve for x
    x = 40,663,096,585.98/275,744.44
  6. Step 6: Final answer
    x = 147,466.61

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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.