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Finding the Fourth Proportional to 386,227.92, 579,342.24 and 219,666

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Solution

The fourth proportional to 386,227.92, 579,342.24 and 219,666 is: 329,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,227.92 : 579,342.24 = 219,666 : x
  2. Step 2: Convert to fraction form
    386,227.92/579,342.24 = 219,666/x
  3. Step 3: Cross multiply
    386,227.92x = 579,342.24 × 219,666
  4. Step 4: Simplify right side
    386,227.92x = 127,261,792,491.84
  5. Step 5: Solve for x
    x = 127,261,792,491.84/386,227.92
  6. Step 6: Final answer
    x = 329,499.20

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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.