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Finding the Fourth Proportional to 422,883.47, 583,587.20 and 231,885.47

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Solution

The fourth proportional to 422,883.47, 583,587.20 and 231,885.47 is: 320,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,883.47 : 583,587.20 = 231,885.47 : x
  2. Step 2: Convert to fraction form
    422,883.47/583,587.20 = 231,885.47/x
  3. Step 3: Cross multiply
    422,883.47x = 583,587.20 × 231,885.47
  4. Step 4: Simplify right side
    422,883.47x = 135,325,390,998.56
  5. Step 5: Solve for x
    x = 135,325,390,998.56/422,883.47
  6. Step 6: Final answer
    x = 320,006.34

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1.5x scale

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.