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Finding the Fourth Proportional to 328,406, 453,200.82 and 177,503

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Solution

The fourth proportional to 328,406, 453,200.82 and 177,503 is: 244,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,406 : 453,200.82 = 177,503 : x
  2. Step 2: Convert to fraction form
    328,406/453,200.82 = 177,503/x
  3. Step 3: Cross multiply
    328,406x = 453,200.82 × 177,503
  4. Step 4: Simplify right side
    328,406x = 80,444,505,152.46
  5. Step 5: Solve for x
    x = 80,444,505,152.46/328,406
  6. Step 6: Final answer
    x = 244,954.43

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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.