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Finding the Fourth Proportional to 469,286.56, 703,957.22 and 181,099.72

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Solution

The fourth proportional to 469,286.56, 703,957.22 and 181,099.72 is: 271,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,286.56 : 703,957.22 = 181,099.72 : x
  2. Step 2: Convert to fraction form
    469,286.56/703,957.22 = 181,099.72/x
  3. Step 3: Cross multiply
    469,286.56x = 703,957.22 × 181,099.72
  4. Step 4: Simplify right side
    469,286.56x = 127,486,455,433.98
  5. Step 5: Solve for x
    x = 127,486,455,433.98/469,286.56
  6. Step 6: Final answer
    x = 271,660.15

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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.