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Finding the Fourth Proportional to 327,924.64, 492,029.90 and 114,845.41

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Solution

The fourth proportional to 327,924.64, 492,029.90 and 114,845.41 is: 172,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,924.64 : 492,029.90 = 114,845.41 : x
  2. Step 2: Convert to fraction form
    327,924.64/492,029.90 = 114,845.41/x
  3. Step 3: Cross multiply
    327,924.64x = 492,029.90 × 114,845.41
  4. Step 4: Simplify right side
    327,924.64x = 56,507,375,597.76
  5. Step 5: Solve for x
    x = 56,507,375,597.76/327,924.64
  6. Step 6: Final answer
    x = 172,318.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.