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Finding the Fourth Proportional to 317,540.49, 476,015.49 and 107,030.82

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Solution

The fourth proportional to 317,540.49, 476,015.49 and 107,030.82 is: 160,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,540.49 : 476,015.49 = 107,030.82 : x
  2. Step 2: Convert to fraction form
    317,540.49/476,015.49 = 107,030.82/x
  3. Step 3: Cross multiply
    317,540.49x = 476,015.49 × 107,030.82
  4. Step 4: Simplify right side
    317,540.49x = 50,948,328,227.40
  5. Step 5: Solve for x
    x = 50,948,328,227.40/317,540.49
  6. Step 6: Final answer
    x = 160,446.71

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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.