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Finding the Fourth Proportional to 370,089, 510,722.82 and 200,324.34

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Solution

The fourth proportional to 370,089, 510,722.82 and 200,324.34 is: 276,447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,089 : 510,722.82 = 200,324.34 : x
  2. Step 2: Convert to fraction form
    370,089/510,722.82 = 200,324.34/x
  3. Step 3: Cross multiply
    370,089x = 510,722.82 × 200,324.34
  4. Step 4: Simplify right side
    370,089x = 102,310,211,839.44
  5. Step 5: Solve for x
    x = 102,310,211,839.44/370,089
  6. Step 6: Final answer
    x = 276,447.59

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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.