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Finding the Fourth Proportional to 470,522.41, 649,324.87 and 255,662.48

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Solution

The fourth proportional to 470,522.41, 649,324.87 and 255,662.48 is: 352,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,522.41 : 649,324.87 = 255,662.48 : x
  2. Step 2: Convert to fraction form
    470,522.41/649,324.87 = 255,662.48/x
  3. Step 3: Cross multiply
    470,522.41x = 649,324.87 × 255,662.48
  4. Step 4: Simplify right side
    470,522.41x = 166,008,007,574.03
  5. Step 5: Solve for x
    x = 166,008,007,574.03/470,522.41
  6. Step 6: Final answer
    x = 352,816.37

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1.5x scale

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.