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Finding the Fourth Proportional to 407,715.38, 562,665.91 and 226,428.11

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Solution

The fourth proportional to 407,715.38, 562,665.91 and 226,428.11 is: 312,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.38 : 562,665.91 = 226,428.11 : x
  2. Step 2: Convert to fraction form
    407,715.38/562,665.91 = 226,428.11/x
  3. Step 3: Cross multiply
    407,715.38x = 562,665.91 × 226,428.11
  4. Step 4: Simplify right side
    407,715.38x = 127,403,377,996.66
  5. Step 5: Solve for x
    x = 127,403,377,996.66/407,715.38
  6. Step 6: Final answer
    x = 312,481.17

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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.