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Finding the Fourth Proportional to 482,172.20, 722,732.86 and 411,838.12

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Solution

The fourth proportional to 482,172.20, 722,732.86 and 411,838.12 is: 617,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,172.20 : 722,732.86 = 411,838.12 : x
  2. Step 2: Convert to fraction form
    482,172.20/722,732.86 = 411,838.12/x
  3. Step 3: Cross multiply
    482,172.20x = 722,732.86 × 411,838.12
  4. Step 4: Simplify right side
    482,172.20x = 297,648,942,324.62
  5. Step 5: Solve for x
    x = 297,648,942,324.62/482,172.20
  6. Step 6: Final answer
    x = 617,308.39

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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.