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Finding the Fourth Proportional to 664,128, 996,192 and 220,896

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Solution

The fourth proportional to 664,128, 996,192 and 220,896 is: 331,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,128 : 996,192 = 220,896 : x
  2. Step 2: Convert to fraction form
    664,128/996,192 = 220,896/x
  3. Step 3: Cross multiply
    664,128x = 996,192 × 220,896
  4. Step 4: Simplify right side
    664,128x = 220,054,828,032
  5. Step 5: Solve for x
    x = 220,054,828,032/664,128
  6. Step 6: Final answer
    x = 331,344

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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.