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Finding the Fourth Proportional to 505,216.25, 697,198.49 and 278,861.81

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Solution

The fourth proportional to 505,216.25, 697,198.49 and 278,861.81 is: 384,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,216.25 : 697,198.49 = 278,861.81 : x
  2. Step 2: Convert to fraction form
    505,216.25/697,198.49 = 278,861.81/x
  3. Step 3: Cross multiply
    505,216.25x = 697,198.49 × 278,861.81
  4. Step 4: Simplify right side
    505,216.25x = 194,422,032,850.67
  5. Step 5: Solve for x
    x = 194,422,032,850.67/505,216.25
  6. Step 6: Final answer
    x = 384,829.33

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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.