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Finding the Fourth Proportional to 682,824, 942,297.21 and 376,900.49

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Solution

The fourth proportional to 682,824, 942,297.21 and 376,900.49 is: 520,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,824 : 942,297.21 = 376,900.49 : x
  2. Step 2: Convert to fraction form
    682,824/942,297.21 = 376,900.49/x
  3. Step 3: Cross multiply
    682,824x = 942,297.21 × 376,900.49
  4. Step 4: Simplify right side
    682,824x = 355,152,280,174.63
  5. Step 5: Solve for x
    x = 355,152,280,174.63/682,824
  6. Step 6: Final answer
    x = 520,122.73

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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.