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Finding the Fourth Proportional to 276,231.95, 414,346.11 and 71,066.30

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Solution

The fourth proportional to 276,231.95, 414,346.11 and 71,066.30 is: 106,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,231.95 : 414,346.11 = 71,066.30 : x
  2. Step 2: Convert to fraction form
    276,231.95/414,346.11 = 71,066.30/x
  3. Step 3: Cross multiply
    276,231.95x = 414,346.11 × 71,066.30
  4. Step 4: Simplify right side
    276,231.95x = 29,446,042,818.74
  5. Step 5: Solve for x
    x = 29,446,042,818.74/276,231.95
  6. Step 6: Final answer
    x = 106,598.97

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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.