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Finding the Fourth Proportional to 405,081, 559,011.78 and 226,233

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Solution

The fourth proportional to 405,081, 559,011.78 and 226,233 is: 312,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081 : 559,011.78 = 226,233 : x
  2. Step 2: Convert to fraction form
    405,081/559,011.78 = 226,233/x
  3. Step 3: Cross multiply
    405,081x = 559,011.78 × 226,233
  4. Step 4: Simplify right side
    405,081x = 126,466,912,024.74
  5. Step 5: Solve for x
    x = 126,466,912,024.74/405,081
  6. Step 6: Final answer
    x = 312,201.54

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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.