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Finding the Fourth Proportional to 422,834.61, 633,007.74 and 282,244.53

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Solution

The fourth proportional to 422,834.61, 633,007.74 and 282,244.53 is: 422,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,834.61 : 633,007.74 = 282,244.53 : x
  2. Step 2: Convert to fraction form
    422,834.61/633,007.74 = 282,244.53/x
  3. Step 3: Cross multiply
    422,834.61x = 633,007.74 × 282,244.53
  4. Step 4: Simplify right side
    422,834.61x = 178,662,972,062.66
  5. Step 5: Solve for x
    x = 178,662,972,062.66/422,834.61
  6. Step 6: Final answer
    x = 422,536.30

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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.