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Finding the Fourth Proportional to 406,830.26, 610,245.42 and 157,512.26

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Solution

The fourth proportional to 406,830.26, 610,245.42 and 157,512.26 is: 236,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,830.26 : 610,245.42 = 157,512.26 : x
  2. Step 2: Convert to fraction form
    406,830.26/610,245.42 = 157,512.26/x
  3. Step 3: Cross multiply
    406,830.26x = 610,245.42 × 157,512.26
  4. Step 4: Simplify right side
    406,830.26x = 96,121,135,258.85
  5. Step 5: Solve for x
    x = 96,121,135,258.85/406,830.26
  6. Step 6: Final answer
    x = 236,268.40

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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.