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Finding the Fourth Proportional to 407,847.81, 562,814.34 and 226,571.14

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Solution

The fourth proportional to 407,847.81, 562,814.34 and 226,571.14 is: 312,659.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,847.81 : 562,814.34 = 226,571.14 : x
  2. Step 2: Convert to fraction form
    407,847.81/562,814.34 = 226,571.14/x
  3. Step 3: Cross multiply
    407,847.81x = 562,814.34 × 226,571.14
  4. Step 4: Simplify right side
    407,847.81x = 127,517,486,794.64
  5. Step 5: Solve for x
    x = 127,517,486,794.64/407,847.81
  6. Step 6: Final answer
    x = 312,659.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.