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Finding the Fourth Proportional to 300,222, 414,307.98 and 164,257.56

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Solution

The fourth proportional to 300,222, 414,307.98 and 164,257.56 is: 226,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,222 : 414,307.98 = 164,257.56 : x
  2. Step 2: Convert to fraction form
    300,222/414,307.98 = 164,257.56/x
  3. Step 3: Cross multiply
    300,222x = 414,307.98 × 164,257.56
  4. Step 4: Simplify right side
    300,222x = 68,053,217,883.33
  5. Step 5: Solve for x
    x = 68,053,217,883.33/300,222
  6. Step 6: Final answer
    x = 226,676.32

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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.