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Finding the Fourth Proportional to 276,283.65, 414,425.49 and 76,604.04

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Solution

The fourth proportional to 276,283.65, 414,425.49 and 76,604.04 is: 114,906.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,283.65 : 414,425.49 = 76,604.04 : x
  2. Step 2: Convert to fraction form
    276,283.65/414,425.49 = 76,604.04/x
  3. Step 3: Cross multiply
    276,283.65x = 414,425.49 × 76,604.04
  4. Step 4: Simplify right side
    276,283.65x = 31,746,666,812.98
  5. Step 5: Solve for x
    x = 31,746,666,812.98/276,283.65
  6. Step 6: Final answer
    x = 114,906.06

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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.