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Finding the Fourth Proportional to 317,295.73, 475,945.24 and 106,935.49

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Solution

The fourth proportional to 317,295.73, 475,945.24 and 106,935.49 is: 160,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,295.73 : 475,945.24 = 106,935.49 : x
  2. Step 2: Convert to fraction form
    317,295.73/475,945.24 = 106,935.49/x
  3. Step 3: Cross multiply
    317,295.73x = 475,945.24 × 106,935.49
  4. Step 4: Simplify right side
    317,295.73x = 50,895,437,452.57
  5. Step 5: Solve for x
    x = 50,895,437,452.57/317,295.73
  6. Step 6: Final answer
    x = 160,403.79

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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.