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Finding the Fourth Proportional to 276,202.46, 414,312.60 and 76,524.77

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Solution

The fourth proportional to 276,202.46, 414,312.60 and 76,524.77 is: 114,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,202.46 : 414,312.60 = 76,524.77 : x
  2. Step 2: Convert to fraction form
    276,202.46/414,312.60 = 76,524.77/x
  3. Step 3: Cross multiply
    276,202.46x = 414,312.60 × 76,524.77
  4. Step 4: Simplify right side
    276,202.46x = 31,705,176,423.10
  5. Step 5: Solve for x
    x = 31,705,176,423.10/276,202.46
  6. Step 6: Final answer
    x = 114,789.62

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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.