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Finding the Fourth Proportional to 407,914.22, 562,922.28 and 226,626.36

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Solution

The fourth proportional to 407,914.22, 562,922.28 and 226,626.36 is: 312,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,914.22 : 562,922.28 = 226,626.36 : x
  2. Step 2: Convert to fraction form
    407,914.22/562,922.28 = 226,626.36/x
  3. Step 3: Cross multiply
    407,914.22x = 562,922.28 × 226,626.36
  4. Step 4: Simplify right side
    407,914.22x = 127,573,027,279.30
  5. Step 5: Solve for x
    x = 127,573,027,279.30/407,914.22
  6. Step 6: Final answer
    x = 312,744.74

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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.