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Finding the Fourth Proportional to 436,098.20, 654,168.90 and 226,146.20

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Solution

The fourth proportional to 436,098.20, 654,168.90 and 226,146.20 is: 339,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,098.20 : 654,168.90 = 226,146.20 : x
  2. Step 2: Convert to fraction form
    436,098.20/654,168.90 = 226,146.20/x
  3. Step 3: Cross multiply
    436,098.20x = 654,168.90 × 226,146.20
  4. Step 4: Simplify right side
    436,098.20x = 147,937,810,893.18
  5. Step 5: Solve for x
    x = 147,937,810,893.18/436,098.20
  6. Step 6: Final answer
    x = 339,230.50

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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.