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Finding the Fourth Proportional to 505,240.12, 697,229.94 and 278,884

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Solution

The fourth proportional to 505,240.12, 697,229.94 and 278,884 is: 384,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,240.12 : 697,229.94 = 278,884 : x
  2. Step 2: Convert to fraction form
    505,240.12/697,229.94 = 278,884/x
  3. Step 3: Cross multiply
    505,240.12x = 697,229.94 × 278,884
  4. Step 4: Simplify right side
    505,240.12x = 194,446,274,586.96
  5. Step 5: Solve for x
    x = 194,446,274,586.96/505,240.12
  6. Step 6: Final answer
    x = 384,859.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.