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Finding the Fourth Proportional to 495,884.44, 743,531.01 and 196,408

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Solution

The fourth proportional to 495,884.44, 743,531.01 and 196,408 is: 294,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,884.44 : 743,531.01 = 196,408 : x
  2. Step 2: Convert to fraction form
    495,884.44/743,531.01 = 196,408/x
  3. Step 3: Cross multiply
    495,884.44x = 743,531.01 × 196,408
  4. Step 4: Simplify right side
    495,884.44x = 146,035,438,612.08
  5. Step 5: Solve for x
    x = 146,035,438,612.08/495,884.44
  6. Step 6: Final answer
    x = 294,494.90

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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.