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Finding the Fourth Proportional to 397,893.69, 596,821.10 and 148,556.25

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Solution

The fourth proportional to 397,893.69, 596,821.10 and 148,556.25 is: 222,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,893.69 : 596,821.10 = 148,556.25 : x
  2. Step 2: Convert to fraction form
    397,893.69/596,821.10 = 148,556.25/x
  3. Step 3: Cross multiply
    397,893.69x = 596,821.10 × 148,556.25
  4. Step 4: Simplify right side
    397,893.69x = 88,661,503,794.09
  5. Step 5: Solve for x
    x = 88,661,503,794.09/397,893.69
  6. Step 6: Final answer
    x = 222,827.12

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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.