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Finding the Fourth Proportional to 470,650.57, 649,502.09 and 255,791.19

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Solution

The fourth proportional to 470,650.57, 649,502.09 and 255,791.19 is: 352,994.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,650.57 : 649,502.09 = 255,791.19 : x
  2. Step 2: Convert to fraction form
    470,650.57/649,502.09 = 255,791.19/x
  3. Step 3: Cross multiply
    470,650.57x = 649,502.09 × 255,791.19
  4. Step 4: Simplify right side
    470,650.57x = 166,136,912,508.59
  5. Step 5: Solve for x
    x = 166,136,912,508.59/470,650.57
  6. Step 6: Final answer
    x = 352,994.18

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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.