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Finding the Fourth Proportional to 269,431.40, 403,455.90 and 256,989.80

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Solution

The fourth proportional to 269,431.40, 403,455.90 and 256,989.80 is: 384,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,431.40 : 403,455.90 = 256,989.80 : x
  2. Step 2: Convert to fraction form
    269,431.40/403,455.90 = 256,989.80/x
  3. Step 3: Cross multiply
    269,431.40x = 403,455.90 × 256,989.80
  4. Step 4: Simplify right side
    269,431.40x = 103,684,051,049.82
  5. Step 5: Solve for x
    x = 103,684,051,049.82/269,431.40
  6. Step 6: Final answer
    x = 384,825.42

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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.