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Finding the Fourth Proportional to 598,418.16, 825,890.16 and 343,768.80

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Solution

The fourth proportional to 598,418.16, 825,890.16 and 343,768.80 is: 474,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,418.16 : 825,890.16 = 343,768.80 : x
  2. Step 2: Convert to fraction form
    598,418.16/825,890.16 = 343,768.80/x
  3. Step 3: Cross multiply
    598,418.16x = 825,890.16 × 343,768.80
  4. Step 4: Simplify right side
    598,418.16x = 283,915,269,235.01
  5. Step 5: Solve for x
    x = 283,915,269,235.01/598,418.16
  6. Step 6: Final answer
    x = 474,442.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.