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Finding the Fourth Proportional to 407,850.44, 562,817.96 and 226,573.77

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Solution

The fourth proportional to 407,850.44, 562,817.96 and 226,573.77 is: 312,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,850.44 : 562,817.96 = 226,573.77 : x
  2. Step 2: Convert to fraction form
    407,850.44/562,817.96 = 226,573.77/x
  3. Step 3: Cross multiply
    407,850.44x = 562,817.96 × 226,573.77
  4. Step 4: Simplify right side
    407,850.44x = 127,519,785,888.04
  5. Step 5: Solve for x
    x = 127,519,785,888.04/407,850.44
  6. Step 6: Final answer
    x = 312,663.11

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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.