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Finding the Fourth Proportional to 276,366.83, 414,503.87 and 76,707.50

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Solution

The fourth proportional to 276,366.83, 414,503.87 and 76,707.50 is: 115,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,366.83 : 414,503.87 = 76,707.50 : x
  2. Step 2: Convert to fraction form
    276,366.83/414,503.87 = 76,707.50/x
  3. Step 3: Cross multiply
    276,366.83x = 414,503.87 × 76,707.50
  4. Step 4: Simplify right side
    276,366.83x = 31,795,553,151.97
  5. Step 5: Solve for x
    x = 31,795,553,151.97/276,366.83
  6. Step 6: Final answer
    x = 115,048.37

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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.