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Finding the Fourth Proportional to 422,579.60, 583,156.50 and 231,592.54

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Solution

The fourth proportional to 422,579.60, 583,156.50 and 231,592.54 is: 319,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,579.60 : 583,156.50 = 231,592.54 : x
  2. Step 2: Convert to fraction form
    422,579.60/583,156.50 = 231,592.54/x
  3. Step 3: Cross multiply
    422,579.60x = 583,156.50 × 231,592.54
  4. Step 4: Simplify right side
    422,579.60x = 135,054,692,136.73
  5. Step 5: Solve for x
    x = 135,054,692,136.73/422,579.60
  6. Step 6: Final answer
    x = 319,595.86

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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.