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Finding the Fourth Proportional to 271,995.80, 405,259.91 and 256,716.57

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Solution

The fourth proportional to 271,995.80, 405,259.91 and 256,716.57 is: 382,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,995.80 : 405,259.91 = 256,716.57 : x
  2. Step 2: Convert to fraction form
    271,995.80/405,259.91 = 256,716.57/x
  3. Step 3: Cross multiply
    271,995.80x = 405,259.91 × 256,716.57
  4. Step 4: Simplify right side
    271,995.80x = 104,036,934,695.50
  5. Step 5: Solve for x
    x = 104,036,934,695.50/271,995.80
  6. Step 6: Final answer
    x = 382,494.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.