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Finding the Fourth Proportional to 422,868.48, 583,530 and 231,877.80

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Solution

The fourth proportional to 422,868.48, 583,530 and 231,877.80 is: 319,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,868.48 : 583,530 = 231,877.80 : x
  2. Step 2: Convert to fraction form
    422,868.48/583,530 = 231,877.80/x
  3. Step 3: Cross multiply
    422,868.48x = 583,530 × 231,877.80
  4. Step 4: Simplify right side
    422,868.48x = 135,307,652,634
  5. Step 5: Solve for x
    x = 135,307,652,634/422,868.48
  6. Step 6: Final answer
    x = 319,975.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.