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Finding the Fourth Proportional to 329,136.40, 453,896.22 and 226,998.64

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Solution

The fourth proportional to 329,136.40, 453,896.22 and 226,998.64 is: 313,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,136.40 : 453,896.22 = 226,998.64 : x
  2. Step 2: Convert to fraction form
    329,136.40/453,896.22 = 226,998.64/x
  3. Step 3: Cross multiply
    329,136.40x = 453,896.22 × 226,998.64
  4. Step 4: Simplify right side
    329,136.40x = 103,033,824,641.14
  5. Step 5: Solve for x
    x = 103,033,824,641.14/329,136.40
  6. Step 6: Final answer
    x = 313,042.93

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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.