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Finding the Fourth Proportional to 299,601.92, 413,453.84 and 163,639.84

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Solution

The fourth proportional to 299,601.92, 413,453.84 and 163,639.84 is: 225,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,601.92 : 413,453.84 = 163,639.84 : x
  2. Step 2: Convert to fraction form
    299,601.92/413,453.84 = 163,639.84/x
  3. Step 3: Cross multiply
    299,601.92x = 413,453.84 × 163,639.84
  4. Step 4: Simplify right side
    299,601.92x = 67,657,520,224.99
  5. Step 5: Solve for x
    x = 67,657,520,224.99/299,601.92
  6. Step 6: Final answer
    x = 225,824.72

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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.