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Finding the Fourth Proportional to 533,634.60, 800,192.70 and 296,725.80

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Solution

The fourth proportional to 533,634.60, 800,192.70 and 296,725.80 is: 444,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,634.60 : 800,192.70 = 296,725.80 : x
  2. Step 2: Convert to fraction form
    533,634.60/800,192.70 = 296,725.80/x
  3. Step 3: Cross multiply
    533,634.60x = 800,192.70 × 296,725.80
  4. Step 4: Simplify right side
    533,634.60x = 237,437,819,061.66
  5. Step 5: Solve for x
    x = 237,437,819,061.66/533,634.60
  6. Step 6: Final answer
    x = 444,944.57

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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.