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Finding the Fourth Proportional to 422,595.56, 583,184.10 and 231,610.60

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Solution

The fourth proportional to 422,595.56, 583,184.10 and 231,610.60 is: 319,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,595.56 : 583,184.10 = 231,610.60 : x
  2. Step 2: Convert to fraction form
    422,595.56/583,184.10 = 231,610.60/x
  3. Step 3: Cross multiply
    422,595.56x = 583,184.10 × 231,610.60
  4. Step 4: Simplify right side
    422,595.56x = 135,071,619,311.46
  5. Step 5: Solve for x
    x = 135,071,619,311.46/422,595.56
  6. Step 6: Final answer
    x = 319,623.85

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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.