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Finding the Fourth Proportional to 317,043.76, 475,771.68 and 137,304.72

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Solution

The fourth proportional to 317,043.76, 475,771.68 and 137,304.72 is: 206,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,043.76 : 475,771.68 = 137,304.72 : x
  2. Step 2: Convert to fraction form
    317,043.76/475,771.68 = 137,304.72/x
  3. Step 3: Cross multiply
    317,043.76x = 475,771.68 × 137,304.72
  4. Step 4: Simplify right side
    317,043.76x = 65,325,697,306.33
  5. Step 5: Solve for x
    x = 65,325,697,306.33/317,043.76
  6. Step 6: Final answer
    x = 206,046.31

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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.