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Finding the Fourth Proportional to 343,945.80, 515,481.30 and 306,329.40

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Solution

The fourth proportional to 343,945.80, 515,481.30 and 306,329.40 is: 459,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,945.80 : 515,481.30 = 306,329.40 : x
  2. Step 2: Convert to fraction form
    343,945.80/515,481.30 = 306,329.40/x
  3. Step 3: Cross multiply
    343,945.80x = 515,481.30 × 306,329.40
  4. Step 4: Simplify right side
    343,945.80x = 157,907,077,340.22
  5. Step 5: Solve for x
    x = 157,907,077,340.22/343,945.80
  6. Step 6: Final answer
    x = 459,104.54

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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.