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Finding the Fourth Proportional to 333,970, 460,880.22 and 199,834

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Solution

The fourth proportional to 333,970, 460,880.22 and 199,834 is: 275,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,970 : 460,880.22 = 199,834 : x
  2. Step 2: Convert to fraction form
    333,970/460,880.22 = 199,834/x
  3. Step 3: Cross multiply
    333,970x = 460,880.22 × 199,834
  4. Step 4: Simplify right side
    333,970x = 92,099,537,883.48
  5. Step 5: Solve for x
    x = 92,099,537,883.48/333,970
  6. Step 6: Final answer
    x = 275,771.89

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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.