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Finding the Fourth Proportional to 276,424.16, 414,590.00 and 76,764.73

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Solution

The fourth proportional to 276,424.16, 414,590.00 and 76,764.73 is: 115,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,424.16 : 414,590.00 = 76,764.73 : x
  2. Step 2: Convert to fraction form
    276,424.16/414,590.00 = 76,764.73/x
  3. Step 3: Cross multiply
    276,424.16x = 414,590.00 × 76,764.73
  4. Step 4: Simplify right side
    276,424.16x = 31,825,888,767.76
  5. Step 5: Solve for x
    x = 31,825,888,767.76/276,424.16
  6. Step 6: Final answer
    x = 115,134.25

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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.