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Finding the Fourth Proportional to 422,551.21, 583,125.26 and 231,560.50

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Solution

The fourth proportional to 422,551.21, 583,125.26 and 231,560.50 is: 319,556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,551.21 : 583,125.26 = 231,560.50 : x
  2. Step 2: Convert to fraction form
    422,551.21/583,125.26 = 231,560.50/x
  3. Step 3: Cross multiply
    422,551.21x = 583,125.26 × 231,560.50
  4. Step 4: Simplify right side
    422,551.21x = 135,028,776,768.23
  5. Step 5: Solve for x
    x = 135,028,776,768.23/422,551.21
  6. Step 6: Final answer
    x = 319,556.01

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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.