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Finding the Fourth Proportional to 333,969, 460,878.84 and 199,833

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Solution

The fourth proportional to 333,969, 460,878.84 and 199,833 is: 275,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,969 : 460,878.84 = 199,833 : x
  2. Step 2: Convert to fraction form
    333,969/460,878.84 = 199,833/x
  3. Step 3: Cross multiply
    333,969x = 460,878.84 × 199,833
  4. Step 4: Simplify right side
    333,969x = 92,098,801,233.72
  5. Step 5: Solve for x
    x = 92,098,801,233.72/333,969
  6. Step 6: Final answer
    x = 275,770.51

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