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Finding the Fourth Proportional to 406,150.97, 609,295.59 and 203,843.52

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Solution

The fourth proportional to 406,150.97, 609,295.59 and 203,843.52 is: 305,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,150.97 : 609,295.59 = 203,843.52 : x
  2. Step 2: Convert to fraction form
    406,150.97/609,295.59 = 203,843.52/x
  3. Step 3: Cross multiply
    406,150.97x = 609,295.59 × 203,843.52
  4. Step 4: Simplify right side
    406,150.97x = 124,200,957,786.08
  5. Step 5: Solve for x
    x = 124,200,957,786.08/406,150.97
  6. Step 6: Final answer
    x = 305,799.98

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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.