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Finding the Fourth Proportional to 300,642, 414,871.26 and 164,676.60

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Solution

The fourth proportional to 300,642, 414,871.26 and 164,676.60 is: 227,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,642 : 414,871.26 = 164,676.60 : x
  2. Step 2: Convert to fraction form
    300,642/414,871.26 = 164,676.60/x
  3. Step 3: Cross multiply
    300,642x = 414,871.26 × 164,676.60
  4. Step 4: Simplify right side
    300,642x = 68,319,588,534.52
  5. Step 5: Solve for x
    x = 68,319,588,534.52/300,642
  6. Step 6: Final answer
    x = 227,245.66

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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.