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Finding the Fourth Proportional to 470,491.38, 649,278.81 and 255,631.37

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Solution

The fourth proportional to 470,491.38, 649,278.81 and 255,631.37 is: 352,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,491.38 : 649,278.81 = 255,631.37 : x
  2. Step 2: Convert to fraction form
    470,491.38/649,278.81 = 255,631.37/x
  3. Step 3: Cross multiply
    470,491.38x = 649,278.81 × 255,631.37
  4. Step 4: Simplify right side
    470,491.38x = 165,976,028,465.88
  5. Step 5: Solve for x
    x = 165,976,028,465.88/470,491.38
  6. Step 6: Final answer
    x = 352,771.67

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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.