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Finding the Fourth Proportional to 470,604.72, 649,438.67 and 255,744.79

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Solution

The fourth proportional to 470,604.72, 649,438.67 and 255,744.79 is: 352,930.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,604.72 : 649,438.67 = 255,744.79 : x
  2. Step 2: Convert to fraction form
    470,604.72/649,438.67 = 255,744.79/x
  3. Step 3: Cross multiply
    470,604.72x = 649,438.67 × 255,744.79
  4. Step 4: Simplify right side
    470,604.72x = 166,090,556,277.03
  5. Step 5: Solve for x
    x = 166,090,556,277.03/470,604.72
  6. Step 6: Final answer
    x = 352,930.07

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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.