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Finding the Fourth Proportional to 300,657.38, 414,891.12 and 164,684.30

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Solution

The fourth proportional to 300,657.38, 414,891.12 and 164,684.30 is: 227,255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,657.38 : 414,891.12 = 164,684.30 : x
  2. Step 2: Convert to fraction form
    300,657.38/414,891.12 = 164,684.30/x
  3. Step 3: Cross multiply
    300,657.38x = 414,891.12 × 164,684.30
  4. Step 4: Simplify right side
    300,657.38x = 68,326,053,673.42
  5. Step 5: Solve for x
    x = 68,326,053,673.42/300,657.38
  6. Step 6: Final answer
    x = 227,255.53

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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.