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Finding the Fourth Proportional to 276,275.37, 414,571.92 and 116,338.68

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Solution

The fourth proportional to 276,275.37, 414,571.92 and 116,338.68 is: 174,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,275.37 : 414,571.92 = 116,338.68 : x
  2. Step 2: Convert to fraction form
    276,275.37/414,571.92 = 116,338.68/x
  3. Step 3: Cross multiply
    276,275.37x = 414,571.92 × 116,338.68
  4. Step 4: Simplify right side
    276,275.37x = 48,230,749,937.87
  5. Step 5: Solve for x
    x = 48,230,749,937.87/276,275.37
  6. Step 6: Final answer
    x = 174,574.92

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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.