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Finding the Fourth Proportional to 496,014.96, 684,519 and 275,258.48

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Solution

The fourth proportional to 496,014.96, 684,519 and 275,258.48 is: 379,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,014.96 : 684,519 = 275,258.48 : x
  2. Step 2: Convert to fraction form
    496,014.96/684,519 = 275,258.48/x
  3. Step 3: Cross multiply
    496,014.96x = 684,519 × 275,258.48
  4. Step 4: Simplify right side
    496,014.96x = 188,419,659,471.12
  5. Step 5: Solve for x
    x = 188,419,659,471.12/496,014.96
  6. Step 6: Final answer
    x = 379,866.89

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1.5x scale

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.