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Finding the Fourth Proportional to 407,422.77, 562,232.91 and 226,129.38

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Solution

The fourth proportional to 407,422.77, 562,232.91 and 226,129.38 is: 312,052.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,422.77 : 562,232.91 = 226,129.38 : x
  2. Step 2: Convert to fraction form
    407,422.77/562,232.91 = 226,129.38/x
  3. Step 3: Cross multiply
    407,422.77x = 562,232.91 × 226,129.38
  4. Step 4: Simplify right side
    407,422.77x = 127,137,379,353.90
  5. Step 5: Solve for x
    x = 127,137,379,353.90/407,422.77
  6. Step 6: Final answer
    x = 312,052.71

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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.