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Finding the Fourth Proportional to 406,481.41, 609,753.66 and 122,149.77

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Solution

The fourth proportional to 406,481.41, 609,753.66 and 122,149.77 is: 183,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,481.41 : 609,753.66 = 122,149.77 : x
  2. Step 2: Convert to fraction form
    406,481.41/609,753.66 = 122,149.77/x
  3. Step 3: Cross multiply
    406,481.41x = 609,753.66 × 122,149.77
  4. Step 4: Simplify right side
    406,481.41x = 74,481,266,276.89
  5. Step 5: Solve for x
    x = 74,481,266,276.89/406,481.41
  6. Step 6: Final answer
    x = 183,234.13

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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.