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Finding the Fourth Proportional to 328,162, 452,863.76 and 177,259

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Solution

The fourth proportional to 328,162, 452,863.76 and 177,259 is: 244,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,162 : 452,863.76 = 177,259 : x
  2. Step 2: Convert to fraction form
    328,162/452,863.76 = 177,259/x
  3. Step 3: Cross multiply
    328,162x = 452,863.76 × 177,259
  4. Step 4: Simplify right side
    328,162x = 80,274,177,233.84
  5. Step 5: Solve for x
    x = 80,274,177,233.84/328,162
  6. Step 6: Final answer
    x = 244,617.53

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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.