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Finding the Fourth Proportional to 298,297.17, 411,650.10 and 164,161.17

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Solution

The fourth proportional to 298,297.17, 411,650.10 and 164,161.17 is: 226,542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,297.17 : 411,650.10 = 164,161.17 : x
  2. Step 2: Convert to fraction form
    298,297.17/411,650.10 = 164,161.17/x
  3. Step 3: Cross multiply
    298,297.17x = 411,650.10 × 164,161.17
  4. Step 4: Simplify right side
    298,297.17x = 67,576,962,046.62
  5. Step 5: Solve for x
    x = 67,576,962,046.62/298,297.17
  6. Step 6: Final answer
    x = 226,542.42

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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.