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Finding the Fourth Proportional to 406,491.96, 609,738.18 and 169,705.56

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Solution

The fourth proportional to 406,491.96, 609,738.18 and 169,705.56 is: 254,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,491.96 : 609,738.18 = 169,705.56 : x
  2. Step 2: Convert to fraction form
    406,491.96/609,738.18 = 169,705.56/x
  3. Step 3: Cross multiply
    406,491.96x = 609,738.18 × 169,705.56
  4. Step 4: Simplify right side
    406,491.96x = 103,475,959,290.28
  5. Step 5: Solve for x
    x = 103,475,959,290.28/406,491.96
  6. Step 6: Final answer
    x = 254,558.44

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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.