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Finding the Fourth Proportional to 533,165.49, 735,716.31 and 303,704.76

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Solution

The fourth proportional to 533,165.49, 735,716.31 and 303,704.76 is: 419,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,165.49 : 735,716.31 = 303,704.76 : x
  2. Step 2: Convert to fraction form
    533,165.49/735,716.31 = 303,704.76/x
  3. Step 3: Cross multiply
    533,165.49x = 735,716.31 × 303,704.76
  4. Step 4: Simplify right side
    533,165.49x = 223,440,545,356.64
  5. Step 5: Solve for x
    x = 223,440,545,356.64/533,165.49
  6. Step 6: Final answer
    x = 419,082.91

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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.