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Finding the Fourth Proportional to 632,448, 948,672 and 189,216

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Solution

The fourth proportional to 632,448, 948,672 and 189,216 is: 283,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,448 : 948,672 = 189,216 : x
  2. Step 2: Convert to fraction form
    632,448/948,672 = 189,216/x
  3. Step 3: Cross multiply
    632,448x = 948,672 × 189,216
  4. Step 4: Simplify right side
    632,448x = 179,503,921,152
  5. Step 5: Solve for x
    x = 179,503,921,152/632,448
  6. Step 6: Final answer
    x = 283,824

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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.