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Finding the Fourth Proportional to 647,601.41, 970,814.05 and 226,647.65

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Solution

The fourth proportional to 647,601.41, 970,814.05 and 226,647.65 is: 339,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,601.41 : 970,814.05 = 226,647.65 : x
  2. Step 2: Convert to fraction form
    647,601.41/970,814.05 = 226,647.65/x
  3. Step 3: Cross multiply
    647,601.41x = 970,814.05 × 226,647.65
  4. Step 4: Simplify right side
    647,601.41x = 220,032,717,032.17
  5. Step 5: Solve for x
    x = 220,032,717,032.17/647,601.41
  6. Step 6: Final answer
    x = 339,765.66

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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.