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Finding the Fourth Proportional to 329,175, 454,261.50 and 178,272

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Solution

The fourth proportional to 329,175, 454,261.50 and 178,272 is: 246,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,175 : 454,261.50 = 178,272 : x
  2. Step 2: Convert to fraction form
    329,175/454,261.50 = 178,272/x
  3. Step 3: Cross multiply
    329,175x = 454,261.50 × 178,272
  4. Step 4: Simplify right side
    329,175x = 80,982,106,128
  5. Step 5: Solve for x
    x = 80,982,106,128/329,175
  6. Step 6: Final answer
    x = 246,015.36

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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.