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Finding the Fourth Proportional to 494,866.53, 682,907.09 and 301,204.17

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Solution

The fourth proportional to 494,866.53, 682,907.09 and 301,204.17 is: 415,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,866.53 : 682,907.09 = 301,204.17 : x
  2. Step 2: Convert to fraction form
    494,866.53/682,907.09 = 301,204.17/x
  3. Step 3: Cross multiply
    494,866.53x = 682,907.09 × 301,204.17
  4. Step 4: Simplify right side
    494,866.53x = 205,694,461,724.54
  5. Step 5: Solve for x
    x = 205,694,461,724.54/494,866.53
  6. Step 6: Final answer
    x = 415,656.44

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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.