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Finding the Fourth Proportional to 321,906.96, 444,242.88 and 178,682.76

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Solution

The fourth proportional to 321,906.96, 444,242.88 and 178,682.76 is: 246,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906.96 : 444,242.88 = 178,682.76 : x
  2. Step 2: Convert to fraction form
    321,906.96/444,242.88 = 178,682.76/x
  3. Step 3: Cross multiply
    321,906.96x = 444,242.88 × 178,682.76
  4. Step 4: Simplify right side
    321,906.96x = 79,378,543,908.75
  5. Step 5: Solve for x
    x = 79,378,543,908.75/321,906.96
  6. Step 6: Final answer
    x = 246,588.47

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1.5x scale

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.