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Finding the Fourth Proportional to 328,200.82, 452,917.56 and 177,297.82

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Solution

The fourth proportional to 328,200.82, 452,917.56 and 177,297.82 is: 244,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,200.82 : 452,917.56 = 177,297.82 : x
  2. Step 2: Convert to fraction form
    328,200.82/452,917.56 = 177,297.82/x
  3. Step 3: Cross multiply
    328,200.82x = 452,917.56 × 177,297.82
  4. Step 4: Simplify right side
    328,200.82x = 80,301,296,027.72
  5. Step 5: Solve for x
    x = 80,301,296,027.72/328,200.82
  6. Step 6: Final answer
    x = 244,671.22

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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.