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Finding the Fourth Proportional to 328,177, 452,884.50 and 177,274

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Solution

The fourth proportional to 328,177, 452,884.50 and 177,274 is: 244,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,177 : 452,884.50 = 177,274 : x
  2. Step 2: Convert to fraction form
    328,177/452,884.50 = 177,274/x
  3. Step 3: Cross multiply
    328,177x = 452,884.50 × 177,274
  4. Step 4: Simplify right side
    328,177x = 80,284,646,853
  5. Step 5: Solve for x
    x = 80,284,646,853/328,177
  6. Step 6: Final answer
    x = 244,638.25

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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.