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Finding the Fourth Proportional to 505,296.50, 697,310.52 and 278,942

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Solution

The fourth proportional to 505,296.50, 697,310.52 and 278,942 is: 384,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,296.50 : 697,310.52 = 278,942 : x
  2. Step 2: Convert to fraction form
    505,296.50/697,310.52 = 278,942/x
  3. Step 3: Cross multiply
    505,296.50x = 697,310.52 × 278,942
  4. Step 4: Simplify right side
    505,296.50x = 194,509,191,069.84
  5. Step 5: Solve for x
    x = 194,509,191,069.84/505,296.50
  6. Step 6: Final answer
    x = 384,940.71

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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.