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Finding the Fourth Proportional to 407,430.72, 562,252.44 and 226,144.80

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Solution

The fourth proportional to 407,430.72, 562,252.44 and 226,144.80 is: 312,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,430.72 : 562,252.44 = 226,144.80 : x
  2. Step 2: Convert to fraction form
    407,430.72/562,252.44 = 226,144.80/x
  3. Step 3: Cross multiply
    407,430.72x = 562,252.44 × 226,144.80
  4. Step 4: Simplify right side
    407,430.72x = 127,150,465,593.31
  5. Step 5: Solve for x
    x = 127,150,465,593.31/407,430.72
  6. Step 6: Final answer
    x = 312,078.74

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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.