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Finding the Fourth Proportional to 533,126.46, 799,408.86 and 196,080.06

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Solution

The fourth proportional to 533,126.46, 799,408.86 and 196,080.06 is: 294,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,126.46 : 799,408.86 = 196,080.06 : x
  2. Step 2: Convert to fraction form
    533,126.46/799,408.86 = 196,080.06/x
  3. Step 3: Cross multiply
    533,126.46x = 799,408.86 × 196,080.06
  4. Step 4: Simplify right side
    533,126.46x = 156,748,137,233.33
  5. Step 5: Solve for x
    x = 156,748,137,233.33/533,126.46
  6. Step 6: Final answer
    x = 294,016.80

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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.