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Finding the Fourth Proportional to 407,451.89, 562,223.67 and 226,165.19

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Solution

The fourth proportional to 407,451.89, 562,223.67 and 226,165.19 is: 312,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,451.89 : 562,223.67 = 226,165.19 : x
  2. Step 2: Convert to fraction form
    407,451.89/562,223.67 = 226,165.19/x
  3. Step 3: Cross multiply
    407,451.89x = 562,223.67 × 226,165.19
  4. Step 4: Simplify right side
    407,451.89x = 127,155,420,336.93
  5. Step 5: Solve for x
    x = 127,155,420,336.93/407,451.89
  6. Step 6: Final answer
    x = 312,074.69

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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.