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Finding the Fourth Proportional to 407,243.84, 562,063.92 and 226,013.98

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Solution

The fourth proportional to 407,243.84, 562,063.92 and 226,013.98 is: 311,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,243.84 : 562,063.92 = 226,013.98 : x
  2. Step 2: Convert to fraction form
    407,243.84/562,063.92 = 226,013.98/x
  3. Step 3: Cross multiply
    407,243.84x = 562,063.92 × 226,013.98
  4. Step 4: Simplify right side
    407,243.84x = 127,034,303,573.60
  5. Step 5: Solve for x
    x = 127,034,303,573.60/407,243.84
  6. Step 6: Final answer
    x = 311,936.71

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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.