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Finding the Fourth Proportional to 468,716.72, 703,107.96 and 188,234

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Solution

The fourth proportional to 468,716.72, 703,107.96 and 188,234 is: 282,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,716.72 : 703,107.96 = 188,234 : x
  2. Step 2: Convert to fraction form
    468,716.72/703,107.96 = 188,234/x
  3. Step 3: Cross multiply
    468,716.72x = 703,107.96 × 188,234
  4. Step 4: Simplify right side
    468,716.72x = 132,348,823,742.64
  5. Step 5: Solve for x
    x = 132,348,823,742.64/468,716.72
  6. Step 6: Final answer
    x = 282,364.20

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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.