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Finding the Fourth Proportional to 533,274.66, 799,833.33 and 196,237.02

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Solution

The fourth proportional to 533,274.66, 799,833.33 and 196,237.02 is: 294,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,274.66 : 799,833.33 = 196,237.02 : x
  2. Step 2: Convert to fraction form
    533,274.66/799,833.33 = 196,237.02/x
  3. Step 3: Cross multiply
    533,274.66x = 799,833.33 × 196,237.02
  4. Step 4: Simplify right side
    533,274.66x = 156,956,909,175.88
  5. Step 5: Solve for x
    x = 156,956,909,175.88/533,274.66
  6. Step 6: Final answer
    x = 294,326.58

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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.