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Finding the Fourth Proportional to 399,653.07, 599,774.85 and 189,291

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Solution

The fourth proportional to 399,653.07, 599,774.85 and 189,291 is: 284,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,653.07 : 599,774.85 = 189,291 : x
  2. Step 2: Convert to fraction form
    399,653.07/599,774.85 = 189,291/x
  3. Step 3: Cross multiply
    399,653.07x = 599,774.85 × 189,291
  4. Step 4: Simplify right side
    399,653.07x = 113,531,981,131.35
  5. Step 5: Solve for x
    x = 113,531,981,131.35/399,653.07
  6. Step 6: Final answer
    x = 284,076.34

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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.