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Finding the Fourth Proportional to 311,483.43, 466,839.68 and 221,382.58

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Solution

The fourth proportional to 311,483.43, 466,839.68 and 221,382.58 is: 331,799.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,483.43 : 466,839.68 = 221,382.58 : x
  2. Step 2: Convert to fraction form
    311,483.43/466,839.68 = 221,382.58/x
  3. Step 3: Cross multiply
    311,483.43x = 466,839.68 × 221,382.58
  4. Step 4: Simplify right side
    311,483.43x = 103,350,172,804.77
  5. Step 5: Solve for x
    x = 103,350,172,804.77/311,483.43
  6. Step 6: Final answer
    x = 331,799.91

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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.