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Finding the Fourth Proportional to 329,654.81, 454,923.88 and 178,751.81

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Solution

The fourth proportional to 329,654.81, 454,923.88 and 178,751.81 is: 246,677.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,654.81 : 454,923.88 = 178,751.81 : x
  2. Step 2: Convert to fraction form
    329,654.81/454,923.88 = 178,751.81/x
  3. Step 3: Cross multiply
    329,654.81x = 454,923.88 × 178,751.81
  4. Step 4: Simplify right side
    329,654.81x = 81,318,467,652.65
  5. Step 5: Solve for x
    x = 81,318,467,652.65/329,654.81
  6. Step 6: Final answer
    x = 246,677.63

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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.