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Finding the Fourth Proportional to 407,418.11, 562,232.93 and 226,125.38

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Solution

The fourth proportional to 407,418.11, 562,232.93 and 226,125.38 is: 312,050.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,418.11 : 562,232.93 = 226,125.38 : x
  2. Step 2: Convert to fraction form
    407,418.11/562,232.93 = 226,125.38/x
  3. Step 3: Cross multiply
    407,418.11x = 562,232.93 × 226,125.38
  4. Step 4: Simplify right side
    407,418.11x = 127,135,134,910.39
  5. Step 5: Solve for x
    x = 127,135,134,910.39/407,418.11
  6. Step 6: Final answer
    x = 312,050.77

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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.