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Finding the Fourth Proportional to 276,064.34, 414,116.28 and 73,659.38

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Solution

The fourth proportional to 276,064.34, 414,116.28 and 73,659.38 is: 110,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064.34 : 414,116.28 = 73,659.38 : x
  2. Step 2: Convert to fraction form
    276,064.34/414,116.28 = 73,659.38/x
  3. Step 3: Cross multiply
    276,064.34x = 414,116.28 × 73,659.38
  4. Step 4: Simplify right side
    276,064.34x = 30,503,546,362.13
  5. Step 5: Solve for x
    x = 30,503,546,362.13/276,064.34
  6. Step 6: Final answer
    x = 110,494.34

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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.