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Finding the Fourth Proportional to 445,133.60, 667,233.76 and 164,471.84

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Solution

The fourth proportional to 445,133.60, 667,233.76 and 164,471.84 is: 246,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,133.60 : 667,233.76 = 164,471.84 : x
  2. Step 2: Convert to fraction form
    445,133.60/667,233.76 = 164,471.84/x
  3. Step 3: Cross multiply
    445,133.60x = 667,233.76 × 164,471.84
  4. Step 4: Simplify right side
    445,133.60x = 109,741,164,217.32
  5. Step 5: Solve for x
    x = 109,741,164,217.32/445,133.60
  6. Step 6: Final answer
    x = 246,535.34

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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.