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Finding the Fourth Proportional to 293,891.64, 405,499.50 and 186,422.64

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Solution

The fourth proportional to 293,891.64, 405,499.50 and 186,422.64 is: 257,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,891.64 : 405,499.50 = 186,422.64 : x
  2. Step 2: Convert to fraction form
    293,891.64/405,499.50 = 186,422.64/x
  3. Step 3: Cross multiply
    293,891.64x = 405,499.50 × 186,422.64
  4. Step 4: Simplify right side
    293,891.64x = 75,594,287,308.68
  5. Step 5: Solve for x
    x = 75,594,287,308.68/293,891.64
  6. Step 6: Final answer
    x = 257,218.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.