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Finding the Fourth Proportional to 300,505.62, 414,684.96 and 164,537.10

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Solution

The fourth proportional to 300,505.62, 414,684.96 and 164,537.10 is: 227,054.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,505.62 : 414,684.96 = 164,537.10 : x
  2. Step 2: Convert to fraction form
    300,505.62/414,684.96 = 164,537.10/x
  3. Step 3: Cross multiply
    300,505.62x = 414,684.96 × 164,537.10
  4. Step 4: Simplify right side
    300,505.62x = 68,231,060,732.02
  5. Step 5: Solve for x
    x = 68,231,060,732.02/300,505.62
  6. Step 6: Final answer
    x = 227,054.19

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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.