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Finding the Fourth Proportional to 533,996.52, 801,309.87 and 197,275.47

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Solution

The fourth proportional to 533,996.52, 801,309.87 and 197,275.47 is: 296,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,996.52 : 801,309.87 = 197,275.47 : x
  2. Step 2: Convert to fraction form
    533,996.52/801,309.87 = 197,275.47/x
  3. Step 3: Cross multiply
    533,996.52x = 801,309.87 × 197,275.47
  4. Step 4: Simplify right side
    533,996.52x = 158,078,781,219.89
  5. Step 5: Solve for x
    x = 158,078,781,219.89/533,996.52
  6. Step 6: Final answer
    x = 296,029.61

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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.