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Finding the Fourth Proportional to 406,940.26, 610,410.38 and 157,622.26

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Solution

The fourth proportional to 406,940.26, 610,410.38 and 157,622.26 is: 236,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,940.26 : 610,410.38 = 157,622.26 : x
  2. Step 2: Convert to fraction form
    406,940.26/610,410.38 = 157,622.26/x
  3. Step 3: Cross multiply
    406,940.26x = 610,410.38 × 157,622.26
  4. Step 4: Simplify right side
    406,940.26x = 96,214,263,623.06
  5. Step 5: Solve for x
    x = 96,214,263,623.06/406,940.26
  6. Step 6: Final answer
    x = 236,433.39

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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.