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Finding the Fourth Proportional to 405,846.66, 608,914.89 and 181,187.10

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Solution

The fourth proportional to 405,846.66, 608,914.89 and 181,187.10 is: 271,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846.66 : 608,914.89 = 181,187.10 : x
  2. Step 2: Convert to fraction form
    405,846.66/608,914.89 = 181,187.10/x
  3. Step 3: Cross multiply
    405,846.66x = 608,914.89 × 181,187.10
  4. Step 4: Simplify right side
    405,846.66x = 110,327,523,065.92
  5. Step 5: Solve for x
    x = 110,327,523,065.92/405,846.66
  6. Step 6: Final answer
    x = 271,845.34

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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.