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Finding the Fourth Proportional to 533,821.72, 799,903.14 and 336,415

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Solution

The fourth proportional to 533,821.72, 799,903.14 and 336,415 is: 504,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,821.72 : 799,903.14 = 336,415 : x
  2. Step 2: Convert to fraction form
    533,821.72/799,903.14 = 336,415/x
  3. Step 3: Cross multiply
    533,821.72x = 799,903.14 × 336,415
  4. Step 4: Simplify right side
    533,821.72x = 269,099,414,843.10
  5. Step 5: Solve for x
    x = 269,099,414,843.10/533,821.72
  6. Step 6: Final answer
    x = 504,099.79

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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.