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Finding the Fourth Proportional to 405,877.98, 608,821.08 and 181,249.86

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Solution

The fourth proportional to 405,877.98, 608,821.08 and 181,249.86 is: 271,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,877.98 : 608,821.08 = 181,249.86 : x
  2. Step 2: Convert to fraction form
    405,877.98/608,821.08 = 181,249.86/x
  3. Step 3: Cross multiply
    405,877.98x = 608,821.08 × 181,249.86
  4. Step 4: Simplify right side
    405,877.98x = 110,348,735,515.05
  5. Step 5: Solve for x
    x = 110,348,735,515.05/405,877.98
  6. Step 6: Final answer
    x = 271,876.63

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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.