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Finding the Fourth Proportional to 322,047.20, 444,402.50 and 178,798.70

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Solution

The fourth proportional to 322,047.20, 444,402.50 and 178,798.70 is: 246,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,047.20 : 444,402.50 = 178,798.70 : x
  2. Step 2: Convert to fraction form
    322,047.20/444,402.50 = 178,798.70/x
  3. Step 3: Cross multiply
    322,047.20x = 444,402.50 × 178,798.70
  4. Step 4: Simplify right side
    322,047.20x = 79,458,589,276.75
  5. Step 5: Solve for x
    x = 79,458,589,276.75/322,047.20
  6. Step 6: Final answer
    x = 246,729.64

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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.