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Finding the Fourth Proportional to 329,673.48, 454,952.25 and 178,770.48

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Solution

The fourth proportional to 329,673.48, 454,952.25 and 178,770.48 is: 246,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,673.48 : 454,952.25 = 178,770.48 : x
  2. Step 2: Convert to fraction form
    329,673.48/454,952.25 = 178,770.48/x
  3. Step 3: Cross multiply
    329,673.48x = 454,952.25 × 178,770.48
  4. Step 4: Simplify right side
    329,673.48x = 81,332,032,109.58
  5. Step 5: Solve for x
    x = 81,332,032,109.58/329,673.48
  6. Step 6: Final answer
    x = 246,704.81

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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.