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Finding the Fourth Proportional to 647,542.30, 971,313.46 and 505,824.70

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Solution

The fourth proportional to 647,542.30, 971,313.46 and 505,824.70 is: 758,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,542.30 : 971,313.46 = 505,824.70 : x
  2. Step 2: Convert to fraction form
    647,542.30/971,313.46 = 505,824.70/x
  3. Step 3: Cross multiply
    647,542.30x = 971,313.46 × 505,824.70
  4. Step 4: Simplify right side
    647,542.30x = 491,314,339,510.46
  5. Step 5: Solve for x
    x = 491,314,339,510.46/647,542.30
  6. Step 6: Final answer
    x = 758,737.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.