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Finding the Fourth Proportional to 328,192, 452,904.96 and 177,289

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Solution

The fourth proportional to 328,192, 452,904.96 and 177,289 is: 244,658.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,192 : 452,904.96 = 177,289 : x
  2. Step 2: Convert to fraction form
    328,192/452,904.96 = 177,289/x
  3. Step 3: Cross multiply
    328,192x = 452,904.96 × 177,289
  4. Step 4: Simplify right side
    328,192x = 80,295,067,453.44
  5. Step 5: Solve for x
    x = 80,295,067,453.44/328,192
  6. Step 6: Final answer
    x = 244,658.82

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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.