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Finding the Fourth Proportional to 422,834.36, 633,007.37 and 282,244.28

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Solution

The fourth proportional to 422,834.36, 633,007.37 and 282,244.28 is: 422,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,834.36 : 633,007.37 = 282,244.28 : x
  2. Step 2: Convert to fraction form
    422,834.36/633,007.37 = 282,244.28/x
  3. Step 3: Cross multiply
    422,834.36x = 633,007.37 × 282,244.28
  4. Step 4: Simplify right side
    422,834.36x = 178,662,706,920.92
  5. Step 5: Solve for x
    x = 178,662,706,920.92/422,834.36
  6. Step 6: Final answer
    x = 422,535.93

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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.