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Finding the Fourth Proportional to 300,276.68, 414,387.86 and 166,142.92

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Solution

The fourth proportional to 300,276.68, 414,387.86 and 166,142.92 is: 229,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,276.68 : 414,387.86 = 166,142.92 : x
  2. Step 2: Convert to fraction form
    300,276.68/414,387.86 = 166,142.92/x
  3. Step 3: Cross multiply
    300,276.68x = 414,387.86 × 166,142.92
  4. Step 4: Simplify right side
    300,276.68x = 68,847,609,072.95
  5. Step 5: Solve for x
    x = 68,847,609,072.95/300,276.68
  6. Step 6: Final answer
    x = 229,280.57

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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.