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Finding the Fourth Proportional to 533,414.73, 736,125.14 and 303,967.11

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Solution

The fourth proportional to 533,414.73, 736,125.14 and 303,967.11 is: 419,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,414.73 : 736,125.14 = 303,967.11 : x
  2. Step 2: Convert to fraction form
    533,414.73/736,125.14 = 303,967.11/x
  3. Step 3: Cross multiply
    533,414.73x = 736,125.14 × 303,967.11
  4. Step 4: Simplify right side
    533,414.73x = 223,757,829,884.31
  5. Step 5: Solve for x
    x = 223,757,829,884.31/533,414.73
  6. Step 6: Final answer
    x = 419,481.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.