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Finding the Fourth Proportional to 533,120.52, 799,996.59 and 196,397.85

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Solution

The fourth proportional to 533,120.52, 799,996.59 and 196,397.85 is: 294,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,120.52 : 799,996.59 = 196,397.85 : x
  2. Step 2: Convert to fraction form
    533,120.52/799,996.59 = 196,397.85/x
  3. Step 3: Cross multiply
    533,120.52x = 799,996.59 × 196,397.85
  4. Step 4: Simplify right side
    533,120.52x = 157,117,610,283.33
  5. Step 5: Solve for x
    x = 157,117,610,283.33/533,120.52
  6. Step 6: Final answer
    x = 294,713.12

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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.