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Finding the Fourth Proportional to 422,843.48, 633,021.06 and 282,253.40

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Solution

The fourth proportional to 422,843.48, 633,021.06 and 282,253.40 is: 422,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,843.48 : 633,021.06 = 282,253.40 : x
  2. Step 2: Convert to fraction form
    422,843.48/633,021.06 = 282,253.40/x
  3. Step 3: Cross multiply
    422,843.48x = 633,021.06 × 282,253.40
  4. Step 4: Simplify right side
    422,843.48x = 178,672,346,456.60
  5. Step 5: Solve for x
    x = 178,672,346,456.60/422,843.48
  6. Step 6: Final answer
    x = 422,549.61

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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.