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Finding the Fourth Proportional to 382,633.20, 573,959.25 and 182,974.68

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Solution

The fourth proportional to 382,633.20, 573,959.25 and 182,974.68 is: 274,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,633.20 : 573,959.25 = 182,974.68 : x
  2. Step 2: Convert to fraction form
    382,633.20/573,959.25 = 182,974.68/x
  3. Step 3: Cross multiply
    382,633.20x = 573,959.25 × 182,974.68
  4. Step 4: Simplify right side
    382,633.20x = 105,020,010,101.79
  5. Step 5: Solve for x
    x = 105,020,010,101.79/382,633.20
  6. Step 6: Final answer
    x = 274,466.54

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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.