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Finding the Fourth Proportional to 317,046.24, 475,431.12 and 119,916

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Solution

The fourth proportional to 317,046.24, 475,431.12 and 119,916 is: 179,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,046.24 : 475,431.12 = 119,916 : x
  2. Step 2: Convert to fraction form
    317,046.24/475,431.12 = 119,916/x
  3. Step 3: Cross multiply
    317,046.24x = 475,431.12 × 119,916
  4. Step 4: Simplify right side
    317,046.24x = 57,011,798,185.92
  5. Step 5: Solve for x
    x = 57,011,798,185.92/317,046.24
  6. Step 6: Final answer
    x = 179,821.71

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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.