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Finding the Fourth Proportional to 421,296.43, 632,104.23 and 252,934.33

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Solution

The fourth proportional to 421,296.43, 632,104.23 and 252,934.33 is: 379,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,296.43 : 632,104.23 = 252,934.33 : x
  2. Step 2: Convert to fraction form
    421,296.43/632,104.23 = 252,934.33/x
  3. Step 3: Cross multiply
    421,296.43x = 632,104.23 × 252,934.33
  4. Step 4: Simplify right side
    421,296.43x = 159,880,859,905.22
  5. Step 5: Solve for x
    x = 159,880,859,905.22/421,296.43
  6. Step 6: Final answer
    x = 379,497.31

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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.