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Finding the Fourth Proportional to 469,171.38, 703,757.88 and 114,185.64

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Solution

The fourth proportional to 469,171.38, 703,757.88 and 114,185.64 is: 171,278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,171.38 : 703,757.88 = 114,185.64 : x
  2. Step 2: Convert to fraction form
    469,171.38/703,757.88 = 114,185.64/x
  3. Step 3: Cross multiply
    469,171.38x = 703,757.88 × 114,185.64
  4. Step 4: Simplify right side
    469,171.38x = 80,359,043,932.84
  5. Step 5: Solve for x
    x = 80,359,043,932.84/469,171.38
  6. Step 6: Final answer
    x = 171,278.66

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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.