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Finding the Fourth Proportional to 301,553.64, 416,136.42 and 167,409

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Solution

The fourth proportional to 301,553.64, 416,136.42 and 167,409 is: 231,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,553.64 : 416,136.42 = 167,409 : x
  2. Step 2: Convert to fraction form
    301,553.64/416,136.42 = 167,409/x
  3. Step 3: Cross multiply
    301,553.64x = 416,136.42 × 167,409
  4. Step 4: Simplify right side
    301,553.64x = 69,664,981,935.78
  5. Step 5: Solve for x
    x = 69,664,981,935.78/301,553.64
  6. Step 6: Final answer
    x = 231,020.20

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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.