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Finding the Fourth Proportional to 406,906.61, 610,235.24 and 281,353.67

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Solution

The fourth proportional to 406,906.61, 610,235.24 and 281,353.67 is: 421,944.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,906.61 : 610,235.24 = 281,353.67 : x
  2. Step 2: Convert to fraction form
    406,906.61/610,235.24 = 281,353.67/x
  3. Step 3: Cross multiply
    406,906.61x = 610,235.24 × 281,353.67
  4. Step 4: Simplify right side
    406,906.61x = 171,691,919,879.39
  5. Step 5: Solve for x
    x = 171,691,919,879.39/406,906.61
  6. Step 6: Final answer
    x = 421,944.29

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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.