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Finding the Fourth Proportional to 641,715.80, 962,792.46 and 192,447.68

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Solution

The fourth proportional to 641,715.80, 962,792.46 and 192,447.68 is: 288,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,715.80 : 962,792.46 = 192,447.68 : x
  2. Step 2: Convert to fraction form
    641,715.80/962,792.46 = 192,447.68/x
  3. Step 3: Cross multiply
    641,715.80x = 962,792.46 × 192,447.68
  4. Step 4: Simplify right side
    641,715.80x = 185,287,175,248.49
  5. Step 5: Solve for x
    x = 185,287,175,248.49/641,715.80
  6. Step 6: Final answer
    x = 288,737.13

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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.