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Finding the Fourth Proportional to 406,812.03, 610,076.46 and 166,857.78

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Solution

The fourth proportional to 406,812.03, 610,076.46 and 166,857.78 is: 250,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,812.03 : 610,076.46 = 166,857.78 : x
  2. Step 2: Convert to fraction form
    406,812.03/610,076.46 = 166,857.78/x
  3. Step 3: Cross multiply
    406,812.03x = 610,076.46 × 166,857.78
  4. Step 4: Simplify right side
    406,812.03x = 101,796,003,745.86
  5. Step 5: Solve for x
    x = 101,796,003,745.86/406,812.03
  6. Step 6: Final answer
    x = 250,228.60

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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.