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Finding the Fourth Proportional to 470,744.81, 649,628.28 and 255,884.87

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Solution

The fourth proportional to 470,744.81, 649,628.28 and 255,884.87 is: 353,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,744.81 : 649,628.28 = 255,884.87 : x
  2. Step 2: Convert to fraction form
    470,744.81/649,628.28 = 255,884.87/x
  3. Step 3: Cross multiply
    470,744.81x = 649,628.28 × 255,884.87
  4. Step 4: Simplify right side
    470,744.81x = 166,230,048,880.52
  5. Step 5: Solve for x
    x = 166,230,048,880.52/470,744.81
  6. Step 6: Final answer
    x = 353,121.36

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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.