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Finding the Fourth Proportional to 470,556.29, 649,314.97 and 266,563.53

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Solution

The fourth proportional to 470,556.29, 649,314.97 and 266,563.53 is: 367,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,556.29 : 649,314.97 = 266,563.53 : x
  2. Step 2: Convert to fraction form
    470,556.29/649,314.97 = 266,563.53/x
  3. Step 3: Cross multiply
    470,556.29x = 649,314.97 × 266,563.53
  4. Step 4: Simplify right side
    470,556.29x = 173,083,690,485.04
  5. Step 5: Solve for x
    x = 173,083,690,485.04/470,556.29
  6. Step 6: Final answer
    x = 367,827.81

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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.