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Finding the Fourth Proportional to 259,755.60, 389,633.40 and 256,256.40

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Solution

The fourth proportional to 259,755.60, 389,633.40 and 256,256.40 is: 384,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,755.60 : 389,633.40 = 256,256.40 : x
  2. Step 2: Convert to fraction form
    259,755.60/389,633.40 = 256,256.40/x
  3. Step 3: Cross multiply
    259,755.60x = 389,633.40 × 256,256.40
  4. Step 4: Simplify right side
    259,755.60x = 99,846,052,403.76
  5. Step 5: Solve for x
    x = 99,846,052,403.76/259,755.60
  6. Step 6: Final answer
    x = 384,384.60

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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.