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Finding the Fourth Proportional to 300,254.70, 414,293.94 and 171,190.74

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Solution

The fourth proportional to 300,254.70, 414,293.94 and 171,190.74 is: 236,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,254.70 : 414,293.94 = 171,190.74 : x
  2. Step 2: Convert to fraction form
    300,254.70/414,293.94 = 171,190.74/x
  3. Step 3: Cross multiply
    300,254.70x = 414,293.94 × 171,190.74
  4. Step 4: Simplify right side
    300,254.70x = 70,923,286,166.12
  5. Step 5: Solve for x
    x = 70,923,286,166.12/300,254.70
  6. Step 6: Final answer
    x = 236,210.41

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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.