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Finding the Fourth Proportional to 393,434.30, 542,926.97 and 221,362.06

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Solution

The fourth proportional to 393,434.30, 542,926.97 and 221,362.06 is: 305,472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,434.30 : 542,926.97 = 221,362.06 : x
  2. Step 2: Convert to fraction form
    393,434.30/542,926.97 = 221,362.06/x
  3. Step 3: Cross multiply
    393,434.30x = 542,926.97 × 221,362.06
  4. Step 4: Simplify right side
    393,434.30x = 120,183,431,704.85
  5. Step 5: Solve for x
    x = 120,183,431,704.85/393,434.30
  6. Step 6: Final answer
    x = 305,472.68

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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.