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Finding the Fourth Proportional to 406,994.14, 610,408.09 and 154,187.48

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Solution

The fourth proportional to 406,994.14, 610,408.09 and 154,187.48 is: 231,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,994.14 : 610,408.09 = 154,187.48 : x
  2. Step 2: Convert to fraction form
    406,994.14/610,408.09 = 154,187.48/x
  3. Step 3: Cross multiply
    406,994.14x = 610,408.09 × 154,187.48
  4. Step 4: Simplify right side
    406,994.14x = 94,117,285,168.71
  5. Step 5: Solve for x
    x = 94,117,285,168.71/406,994.14
  6. Step 6: Final answer
    x = 231,249.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.