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Finding the Fourth Proportional to 407,426.88, 562,238.34 and 226,138.34

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Solution

The fourth proportional to 407,426.88, 562,238.34 and 226,138.34 is: 312,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,426.88 : 562,238.34 = 226,138.34 : x
  2. Step 2: Convert to fraction form
    407,426.88/562,238.34 = 226,138.34/x
  3. Step 3: Cross multiply
    407,426.88x = 562,238.34 × 226,138.34
  4. Step 4: Simplify right side
    407,426.88x = 127,143,644,891.96
  5. Step 5: Solve for x
    x = 127,143,644,891.96/407,426.88
  6. Step 6: Final answer
    x = 312,064.94

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