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Finding the Fourth Proportional to 321,892.32, 444,216.28 and 178,661.68

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Solution

The fourth proportional to 321,892.32, 444,216.28 and 178,661.68 is: 246,555.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,892.32 : 444,216.28 = 178,661.68 : x
  2. Step 2: Convert to fraction form
    321,892.32/444,216.28 = 178,661.68/x
  3. Step 3: Cross multiply
    321,892.32x = 444,216.28 × 178,661.68
  4. Step 4: Simplify right side
    321,892.32x = 79,364,426,868.15
  5. Step 5: Solve for x
    x = 79,364,426,868.15/321,892.32
  6. Step 6: Final answer
    x = 246,555.83

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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.