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Finding the Fourth Proportional to 436,785.54, 654,711.72 and 311,747.46

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Solution

The fourth proportional to 436,785.54, 654,711.72 and 311,747.46 is: 467,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,785.54 : 654,711.72 = 311,747.46 : x
  2. Step 2: Convert to fraction form
    436,785.54/654,711.72 = 311,747.46/x
  3. Step 3: Cross multiply
    436,785.54x = 654,711.72 × 311,747.46
  4. Step 4: Simplify right side
    436,785.54x = 204,104,715,742.23
  5. Step 5: Solve for x
    x = 204,104,715,742.23/436,785.54
  6. Step 6: Final answer
    x = 467,288.17

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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.