Home / 470,516.48-705,378-204,076.40

Finding the Fourth Proportional to 470,516.48, 705,378 and 204,076.40

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Solution

The fourth proportional to 470,516.48, 705,378 and 204,076.40 is: 305,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,516.48 : 705,378 = 204,076.40 : x
  2. Step 2: Convert to fraction form
    470,516.48/705,378 = 204,076.40/x
  3. Step 3: Cross multiply
    470,516.48x = 705,378 × 204,076.40
  4. Step 4: Simplify right side
    470,516.48x = 143,951,002,879.20
  5. Step 5: Solve for x
    x = 143,951,002,879.20/470,516.48
  6. Step 6: Final answer
    x = 305,942.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.