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Finding the Fourth Proportional to 300,546, 414,753.48 and 166,410

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Solution

The fourth proportional to 300,546, 414,753.48 and 166,410 is: 229,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,546 : 414,753.48 = 166,410 : x
  2. Step 2: Convert to fraction form
    300,546/414,753.48 = 166,410/x
  3. Step 3: Cross multiply
    300,546x = 414,753.48 × 166,410
  4. Step 4: Simplify right side
    300,546x = 69,019,126,606.80
  5. Step 5: Solve for x
    x = 69,019,126,606.80/300,546
  6. Step 6: Final answer
    x = 229,645.80

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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.