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Finding the Fourth Proportional to 325,492.47, 449,232.78 and 194,661.54

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Solution

The fourth proportional to 325,492.47, 449,232.78 and 194,661.54 is: 268,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,492.47 : 449,232.78 = 194,661.54 : x
  2. Step 2: Convert to fraction form
    325,492.47/449,232.78 = 194,661.54/x
  3. Step 3: Cross multiply
    325,492.47x = 449,232.78 × 194,661.54
  4. Step 4: Simplify right side
    325,492.47x = 87,448,344,773.28
  5. Step 5: Solve for x
    x = 87,448,344,773.28/325,492.47
  6. Step 6: Final answer
    x = 268,664.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.