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Finding the Fourth Proportional to 300,410.56, 414,538.48 and 179,527.84

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Solution

The fourth proportional to 300,410.56, 414,538.48 and 179,527.84 is: 247,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,410.56 : 414,538.48 = 179,527.84 : x
  2. Step 2: Convert to fraction form
    300,410.56/414,538.48 = 179,527.84/x
  3. Step 3: Cross multiply
    300,410.56x = 414,538.48 × 179,527.84
  4. Step 4: Simplify right side
    300,410.56x = 74,421,197,911.28
  5. Step 5: Solve for x
    x = 74,421,197,911.28/300,410.56
  6. Step 6: Final answer
    x = 247,731.63

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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.