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Finding the Fourth Proportional to 405,193, 559,166.34 and 226,345

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Solution

The fourth proportional to 405,193, 559,166.34 and 226,345 is: 312,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,193 : 559,166.34 = 226,345 : x
  2. Step 2: Convert to fraction form
    405,193/559,166.34 = 226,345/x
  3. Step 3: Cross multiply
    405,193x = 559,166.34 × 226,345
  4. Step 4: Simplify right side
    405,193x = 126,564,505,227.30
  5. Step 5: Solve for x
    x = 126,564,505,227.30/405,193
  6. Step 6: Final answer
    x = 312,356.10

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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.