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Finding the Fourth Proportional to 494,998, 683,097.52 and 268,643.44

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Solution

The fourth proportional to 494,998, 683,097.52 and 268,643.44 is: 370,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,998 : 683,097.52 = 268,643.44 : x
  2. Step 2: Convert to fraction form
    494,998/683,097.52 = 268,643.44/x
  3. Step 3: Cross multiply
    494,998x = 683,097.52 × 268,643.44
  4. Step 4: Simplify right side
    494,998x = 183,509,667,628.27
  5. Step 5: Solve for x
    x = 183,509,667,628.27/494,998
  6. Step 6: Final answer
    x = 370,728.10

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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.