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Finding the Fourth Proportional to 382,508.40, 572,596.20 and 224,266.80

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Solution

The fourth proportional to 382,508.40, 572,596.20 and 224,266.80 is: 335,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,508.40 : 572,596.20 = 224,266.80 : x
  2. Step 2: Convert to fraction form
    382,508.40/572,596.20 = 224,266.80/x
  3. Step 3: Cross multiply
    382,508.40x = 572,596.20 × 224,266.80
  4. Step 4: Simplify right side
    382,508.40x = 128,414,317,466.16
  5. Step 5: Solve for x
    x = 128,414,317,466.16/382,508.40
  6. Step 6: Final answer
    x = 335,716.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.