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Finding the Fourth Proportional to 468,723.72, 703,118.46 and 188,241

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Solution

The fourth proportional to 468,723.72, 703,118.46 and 188,241 is: 282,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,723.72 : 703,118.46 = 188,241 : x
  2. Step 2: Convert to fraction form
    468,723.72/703,118.46 = 188,241/x
  3. Step 3: Cross multiply
    468,723.72x = 703,118.46 × 188,241
  4. Step 4: Simplify right side
    468,723.72x = 132,355,722,028.86
  5. Step 5: Solve for x
    x = 132,355,722,028.86/468,723.72
  6. Step 6: Final answer
    x = 282,374.70

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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.