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Finding the Fourth Proportional to 406,896.26, 610,227.75 and 122,614.34

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Solution

The fourth proportional to 406,896.26, 610,227.75 and 122,614.34 is: 183,886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,896.26 : 610,227.75 = 122,614.34 : x
  2. Step 2: Convert to fraction form
    406,896.26/610,227.75 = 122,614.34/x
  3. Step 3: Cross multiply
    406,896.26x = 610,227.75 × 122,614.34
  4. Step 4: Simplify right side
    406,896.26x = 74,822,672,815.94
  5. Step 5: Solve for x
    x = 74,822,672,815.94/406,896.26
  6. Step 6: Final answer
    x = 183,886.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.