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Finding the Fourth Proportional to 323,206.38, 484,772.49 and 123,522.33

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Solution

The fourth proportional to 323,206.38, 484,772.49 and 123,522.33 is: 185,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,206.38 : 484,772.49 = 123,522.33 : x
  2. Step 2: Convert to fraction form
    323,206.38/484,772.49 = 123,522.33/x
  3. Step 3: Cross multiply
    323,206.38x = 484,772.49 × 123,522.33
  4. Step 4: Simplify right side
    323,206.38x = 59,880,227,484.70
  5. Step 5: Solve for x
    x = 59,880,227,484.70/323,206.38
  6. Step 6: Final answer
    x = 185,269.32

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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.