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Finding the Fourth Proportional to 276,406.56, 414,106.83 and 191,988.36

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Solution

The fourth proportional to 276,406.56, 414,106.83 and 191,988.36 is: 287,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,406.56 : 414,106.83 = 191,988.36 : x
  2. Step 2: Convert to fraction form
    276,406.56/414,106.83 = 191,988.36/x
  3. Step 3: Cross multiply
    276,406.56x = 414,106.83 × 191,988.36
  4. Step 4: Simplify right side
    276,406.56x = 79,503,691,156.50
  5. Step 5: Solve for x
    x = 79,503,691,156.50/276,406.56
  6. Step 6: Final answer
    x = 287,633.16

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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.