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Finding the Fourth Proportional to 288,243, 397,660.92 and 192,598.20

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Solution

The fourth proportional to 288,243, 397,660.92 and 192,598.20 is: 265,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,243 : 397,660.92 = 192,598.20 : x
  2. Step 2: Convert to fraction form
    288,243/397,660.92 = 192,598.20/x
  3. Step 3: Cross multiply
    288,243x = 397,660.92 × 192,598.20
  4. Step 4: Simplify right side
    288,243x = 76,588,777,402.34
  5. Step 5: Solve for x
    x = 76,588,777,402.34/288,243
  6. Step 6: Final answer
    x = 265,709.06

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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.