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Finding the Fourth Proportional to 533,785.92, 800,644.32 and 201,353.28

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Solution

The fourth proportional to 533,785.92, 800,644.32 and 201,353.28 is: 302,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,785.92 : 800,644.32 = 201,353.28 : x
  2. Step 2: Convert to fraction form
    533,785.92/800,644.32 = 201,353.28/x
  3. Step 3: Cross multiply
    533,785.92x = 800,644.32 × 201,353.28
  4. Step 4: Simplify right side
    533,785.92x = 161,212,359,945.37
  5. Step 5: Solve for x
    x = 161,212,359,945.37/533,785.92
  6. Step 6: Final answer
    x = 302,016.88

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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.