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Finding the Fourth Proportional to 328,161.78, 452,863.50 and 177,258.78

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Solution

The fourth proportional to 328,161.78, 452,863.50 and 177,258.78 is: 244,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,161.78 : 452,863.50 = 177,258.78 : x
  2. Step 2: Convert to fraction form
    328,161.78/452,863.50 = 177,258.78/x
  3. Step 3: Cross multiply
    328,161.78x = 452,863.50 × 177,258.78
  4. Step 4: Simplify right side
    328,161.78x = 80,274,031,516.53
  5. Step 5: Solve for x
    x = 80,274,031,516.53/328,161.78
  6. Step 6: Final answer
    x = 244,617.25

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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.