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Finding the Fourth Proportional to 474,884.70, 712,215.24 and 137,836.44

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Solution

The fourth proportional to 474,884.70, 712,215.24 and 137,836.44 is: 206,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,884.70 : 712,215.24 = 137,836.44 : x
  2. Step 2: Convert to fraction form
    474,884.70/712,215.24 = 137,836.44/x
  3. Step 3: Cross multiply
    474,884.70x = 712,215.24 × 137,836.44
  4. Step 4: Simplify right side
    474,884.70x = 98,169,213,195.35
  5. Step 5: Solve for x
    x = 98,169,213,195.35/474,884.70
  6. Step 6: Final answer
    x = 206,722.21

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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.