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Finding the Fourth Proportional to 407,309.58, 562,072.50 and 226,029.42

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Solution

The fourth proportional to 407,309.58, 562,072.50 and 226,029.42 is: 311,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,309.58 : 562,072.50 = 226,029.42 : x
  2. Step 2: Convert to fraction form
    407,309.58/562,072.50 = 226,029.42/x
  3. Step 3: Cross multiply
    407,309.58x = 562,072.50 × 226,029.42
  4. Step 4: Simplify right side
    407,309.58x = 127,044,921,172.95
  5. Step 5: Solve for x
    x = 127,044,921,172.95/407,309.58
  6. Step 6: Final answer
    x = 311,912.43

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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.