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Finding the Fourth Proportional to 300,502.62, 414,680.82 and 164,534.10

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Solution

The fourth proportional to 300,502.62, 414,680.82 and 164,534.10 is: 227,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,502.62 : 414,680.82 = 164,534.10 : x
  2. Step 2: Convert to fraction form
    300,502.62/414,680.82 = 164,534.10/x
  3. Step 3: Cross multiply
    300,502.62x = 414,680.82 × 164,534.10
  4. Step 4: Simplify right side
    300,502.62x = 68,229,135,505.96
  5. Step 5: Solve for x
    x = 68,229,135,505.96/300,502.62
  6. Step 6: Final answer
    x = 227,050.05

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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.