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Finding the Fourth Proportional to 495,933.40, 743,900.10 and 259,348.60

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Solution

The fourth proportional to 495,933.40, 743,900.10 and 259,348.60 is: 389,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,933.40 : 743,900.10 = 259,348.60 : x
  2. Step 2: Convert to fraction form
    495,933.40/743,900.10 = 259,348.60/x
  3. Step 3: Cross multiply
    495,933.40x = 743,900.10 × 259,348.60
  4. Step 4: Simplify right side
    495,933.40x = 192,929,449,474.86
  5. Step 5: Solve for x
    x = 192,929,449,474.86/495,933.40
  6. Step 6: Final answer
    x = 389,022.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.