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Finding the Fourth Proportional to 328,196, 452,910.48 and 177,293

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Solution

The fourth proportional to 328,196, 452,910.48 and 177,293 is: 244,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,196 : 452,910.48 = 177,293 : x
  2. Step 2: Convert to fraction form
    328,196/452,910.48 = 177,293/x
  3. Step 3: Cross multiply
    328,196x = 452,910.48 × 177,293
  4. Step 4: Simplify right side
    328,196x = 80,297,857,730.64
  5. Step 5: Solve for x
    x = 80,297,857,730.64/328,196
  6. Step 6: Final answer
    x = 244,664.34

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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.