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Finding the Fourth Proportional to 470,651.24, 649,498.70 and 255,791.82

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Solution

The fourth proportional to 470,651.24, 649,498.70 and 255,791.82 is: 352,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,651.24 : 649,498.70 = 255,791.82 : x
  2. Step 2: Convert to fraction form
    470,651.24/649,498.70 = 255,791.82/x
  3. Step 3: Cross multiply
    470,651.24x = 649,498.70 × 255,791.82
  4. Step 4: Simplify right side
    470,651.24x = 166,136,454,560.63
  5. Step 5: Solve for x
    x = 166,136,454,560.63/470,651.24
  6. Step 6: Final answer
    x = 352,992.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.