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Finding the Fourth Proportional to 276,377.00, 414,565.54 and 76,697.46

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Solution

The fourth proportional to 276,377.00, 414,565.54 and 76,697.46 is: 115,046.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,377.00 : 414,565.54 = 76,697.46 : x
  2. Step 2: Convert to fraction form
    276,377.00/414,565.54 = 76,697.46/x
  3. Step 3: Cross multiply
    276,377.00x = 414,565.54 × 76,697.46
  4. Step 4: Simplify right side
    276,377.00x = 31,796,123,729.78
  5. Step 5: Solve for x
    x = 31,796,123,729.78/276,377.00
  6. Step 6: Final answer
    x = 115,046.20

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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.