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Finding the Fourth Proportional to 498,090.46, 687,372.54 and 271,735.96

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Solution

The fourth proportional to 498,090.46, 687,372.54 and 271,735.96 is: 374,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,090.46 : 687,372.54 = 271,735.96 : x
  2. Step 2: Convert to fraction form
    498,090.46/687,372.54 = 271,735.96/x
  3. Step 3: Cross multiply
    498,090.46x = 687,372.54 × 271,735.96
  4. Step 4: Simplify right side
    498,090.46x = 186,783,837,034.54
  5. Step 5: Solve for x
    x = 186,783,837,034.54/498,090.46
  6. Step 6: Final answer
    x = 374,999.83

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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.