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Finding the Fourth Proportional to 354,631.28, 532,102.88 and 186,112

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Solution

The fourth proportional to 354,631.28, 532,102.88 and 186,112 is: 279,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,631.28 : 532,102.88 = 186,112 : x
  2. Step 2: Convert to fraction form
    354,631.28/532,102.88 = 186,112/x
  3. Step 3: Cross multiply
    354,631.28x = 532,102.88 × 186,112
  4. Step 4: Simplify right side
    354,631.28x = 99,030,731,202.56
  5. Step 5: Solve for x
    x = 99,030,731,202.56/354,631.28
  6. Step 6: Final answer
    x = 279,249.85

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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.