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Finding the Fourth Proportional to 498,092.63, 687,367.15 and 271,738.13

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Solution

The fourth proportional to 498,092.63, 687,367.15 and 271,738.13 is: 374,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,092.63 : 687,367.15 = 271,738.13 : x
  2. Step 2: Convert to fraction form
    498,092.63/687,367.15 = 271,738.13/x
  3. Step 3: Cross multiply
    498,092.63x = 687,367.15 × 271,738.13
  4. Step 4: Simplify right side
    498,092.63x = 186,783,859,848.25
  5. Step 5: Solve for x
    x = 186,783,859,848.25/498,092.63
  6. Step 6: Final answer
    x = 374,998.24

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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.