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Finding the Fourth Proportional to 308,901.87, 463,680.32 and 273,592.41

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Solution

The fourth proportional to 308,901.87, 463,680.32 and 273,592.41 is: 410,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,901.87 : 463,680.32 = 273,592.41 : x
  2. Step 2: Convert to fraction form
    308,901.87/463,680.32 = 273,592.41/x
  3. Step 3: Cross multiply
    308,901.87x = 463,680.32 × 273,592.41
  4. Step 4: Simplify right side
    308,901.87x = 126,859,412,532.01
  5. Step 5: Solve for x
    x = 126,859,412,532.01/308,901.87
  6. Step 6: Final answer
    x = 410,678.68

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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.