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Finding the Fourth Proportional to 397,262.30, 595,893.45 and 226,020.20

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Solution

The fourth proportional to 397,262.30, 595,893.45 and 226,020.20 is: 339,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,262.30 : 595,893.45 = 226,020.20 : x
  2. Step 2: Convert to fraction form
    397,262.30/595,893.45 = 226,020.20/x
  3. Step 3: Cross multiply
    397,262.30x = 595,893.45 × 226,020.20
  4. Step 4: Simplify right side
    397,262.30x = 134,683,956,747.69
  5. Step 5: Solve for x
    x = 134,683,956,747.69/397,262.30
  6. Step 6: Final answer
    x = 339,030.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.