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Finding the Fourth Proportional to 407,454.27, 562,353.48 and 226,224.87

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Solution

The fourth proportional to 407,454.27, 562,353.48 and 226,224.87 is: 312,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,454.27 : 562,353.48 = 226,224.87 : x
  2. Step 2: Convert to fraction form
    407,454.27/562,353.48 = 226,224.87/x
  3. Step 3: Cross multiply
    407,454.27x = 562,353.48 × 226,224.87
  4. Step 4: Simplify right side
    407,454.27x = 127,218,342,907.05
  5. Step 5: Solve for x
    x = 127,218,342,907.05/407,454.27
  6. Step 6: Final answer
    x = 312,227.29

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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.