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Finding the Fourth Proportional to 441,736.32, 662,682.40 and 161,644.80

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Solution

The fourth proportional to 441,736.32, 662,682.40 and 161,644.80 is: 242,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,736.32 : 662,682.40 = 161,644.80 : x
  2. Step 2: Convert to fraction form
    441,736.32/662,682.40 = 161,644.80/x
  3. Step 3: Cross multiply
    441,736.32x = 662,682.40 × 161,644.80
  4. Step 4: Simplify right side
    441,736.32x = 107,119,164,011.52
  5. Step 5: Solve for x
    x = 107,119,164,011.52/441,736.32
  6. Step 6: Final answer
    x = 242,495.71

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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.