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Finding the Fourth Proportional to 406,342.92, 609,611.70 and 169,553.88

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Solution

The fourth proportional to 406,342.92, 609,611.70 and 169,553.88 is: 254,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,342.92 : 609,611.70 = 169,553.88 : x
  2. Step 2: Convert to fraction form
    406,342.92/609,611.70 = 169,553.88/x
  3. Step 3: Cross multiply
    406,342.92x = 609,611.70 × 169,553.88
  4. Step 4: Simplify right side
    406,342.92x = 103,362,029,028.40
  5. Step 5: Solve for x
    x = 103,362,029,028.40/406,342.92
  6. Step 6: Final answer
    x = 254,371.43

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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.