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Finding the Fourth Proportional to 283,016, 390,243.20 and 218,338.04

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Solution

The fourth proportional to 283,016, 390,243.20 and 218,338.04 is: 301,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,016 : 390,243.20 = 218,338.04 : x
  2. Step 2: Convert to fraction form
    283,016/390,243.20 = 218,338.04/x
  3. Step 3: Cross multiply
    283,016x = 390,243.20 × 218,338.04
  4. Step 4: Simplify right side
    283,016x = 85,204,935,411.33
  5. Step 5: Solve for x
    x = 85,204,935,411.33/283,016
  6. Step 6: Final answer
    x = 301,060.49

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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.