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Finding the Fourth Proportional to 333,967, 460,876.08 and 199,831

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Solution

The fourth proportional to 333,967, 460,876.08 and 199,831 is: 275,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,967 : 460,876.08 = 199,831 : x
  2. Step 2: Convert to fraction form
    333,967/460,876.08 = 199,831/x
  3. Step 3: Cross multiply
    333,967x = 460,876.08 × 199,831
  4. Step 4: Simplify right side
    333,967x = 92,097,327,942.48
  5. Step 5: Solve for x
    x = 92,097,327,942.48/333,967
  6. Step 6: Final answer
    x = 275,767.75

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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.