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Finding the Fourth Proportional to 276,365.83, 414,502.37 and 76,706.50

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Solution

The fourth proportional to 276,365.83, 414,502.37 and 76,706.50 is: 115,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,365.83 : 414,502.37 = 76,706.50 : x
  2. Step 2: Convert to fraction form
    276,365.83/414,502.37 = 76,706.50/x
  3. Step 3: Cross multiply
    276,365.83x = 414,502.37 × 76,706.50
  4. Step 4: Simplify right side
    276,365.83x = 31,795,023,588.36
  5. Step 5: Solve for x
    x = 31,795,023,588.36/276,365.83
  6. Step 6: Final answer
    x = 115,046.87

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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.