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Finding the Fourth Proportional to 505,297.38, 697,310.58 and 278,942.88

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Solution

The fourth proportional to 505,297.38, 697,310.58 and 278,942.88 is: 384,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,297.38 : 697,310.58 = 278,942.88 : x
  2. Step 2: Convert to fraction form
    505,297.38/697,310.58 = 278,942.88/x
  3. Step 3: Cross multiply
    505,297.38x = 697,310.58 × 278,942.88
  4. Step 4: Simplify right side
    505,297.38x = 194,509,821,439.67
  5. Step 5: Solve for x
    x = 194,509,821,439.67/505,297.38
  6. Step 6: Final answer
    x = 384,941.28

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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.