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Finding the Fourth Proportional to 257,107.74, 384,883.26 and 233,415.24

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Solution

The fourth proportional to 257,107.74, 384,883.26 and 233,415.24 is: 349,416.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,107.74 : 384,883.26 = 233,415.24 : x
  2. Step 2: Convert to fraction form
    257,107.74/384,883.26 = 233,415.24/x
  3. Step 3: Cross multiply
    257,107.74x = 384,883.26 × 233,415.24
  4. Step 4: Simplify right side
    257,107.74x = 89,837,618,504.88
  5. Step 5: Solve for x
    x = 89,837,618,504.88/257,107.74
  6. Step 6: Final answer
    x = 349,416.24

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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.