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Finding the Fourth Proportional to 331,611, 457,623.24 and 180,708

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Solution

The fourth proportional to 331,611, 457,623.24 and 180,708 is: 249,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,611 : 457,623.24 = 180,708 : x
  2. Step 2: Convert to fraction form
    331,611/457,623.24 = 180,708/x
  3. Step 3: Cross multiply
    331,611x = 457,623.24 × 180,708
  4. Step 4: Simplify right side
    331,611x = 82,696,180,453.92
  5. Step 5: Solve for x
    x = 82,696,180,453.92/331,611
  6. Step 6: Final answer
    x = 249,377.07

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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.