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Finding the Fourth Proportional to 493,836.12, 681,490.26 and 267,480

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Solution

The fourth proportional to 493,836.12, 681,490.26 and 267,480 is: 369,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,836.12 : 681,490.26 = 267,480 : x
  2. Step 2: Convert to fraction form
    493,836.12/681,490.26 = 267,480/x
  3. Step 3: Cross multiply
    493,836.12x = 681,490.26 × 267,480
  4. Step 4: Simplify right side
    493,836.12x = 182,285,014,744.80
  5. Step 5: Solve for x
    x = 182,285,014,744.80/493,836.12
  6. Step 6: Final answer
    x = 369,120.46

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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.