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Finding the Fourth Proportional to 406,252.80, 609,435.90 and 169,541.22

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Solution

The fourth proportional to 406,252.80, 609,435.90 and 169,541.22 is: 254,335.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,252.80 : 609,435.90 = 169,541.22 : x
  2. Step 2: Convert to fraction form
    406,252.80/609,435.90 = 169,541.22/x
  3. Step 3: Cross multiply
    406,252.80x = 609,435.90 × 169,541.22
  4. Step 4: Simplify right side
    406,252.80x = 103,324,505,997.80
  5. Step 5: Solve for x
    x = 103,324,505,997.80/406,252.80
  6. Step 6: Final answer
    x = 254,335.49

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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.