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Finding the Fourth Proportional to 406,035.89, 608,843.97 and 178,238.27

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Solution

The fourth proportional to 406,035.89, 608,843.97 and 178,238.27 is: 267,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,035.89 : 608,843.97 = 178,238.27 : x
  2. Step 2: Convert to fraction form
    406,035.89/608,843.97 = 178,238.27/x
  3. Step 3: Cross multiply
    406,035.89x = 608,843.97 × 178,238.27
  4. Step 4: Simplify right side
    406,035.89x = 108,519,292,868.51
  5. Step 5: Solve for x
    x = 108,519,292,868.51/406,035.89
  6. Step 6: Final answer
    x = 267,265.28

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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.