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Finding the Fourth Proportional to 293,847.20, 441,231.60 and 169,431.20

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Solution

The fourth proportional to 293,847.20, 441,231.60 and 169,431.20 is: 254,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,847.20 : 441,231.60 = 169,431.20 : x
  2. Step 2: Convert to fraction form
    293,847.20/441,231.60 = 169,431.20/x
  3. Step 3: Cross multiply
    293,847.20x = 441,231.60 × 169,431.20
  4. Step 4: Simplify right side
    293,847.20x = 74,758,399,465.92
  5. Step 5: Solve for x
    x = 74,758,399,465.92/293,847.20
  6. Step 6: Final answer
    x = 254,412.50

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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.