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Finding the Fourth Proportional to 422,591.41, 583,175.01 and 229,004.49

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Solution

The fourth proportional to 422,591.41, 583,175.01 and 229,004.49 is: 316,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,591.41 : 583,175.01 = 229,004.49 : x
  2. Step 2: Convert to fraction form
    422,591.41/583,175.01 = 229,004.49/x
  3. Step 3: Cross multiply
    422,591.41x = 583,175.01 × 229,004.49
  4. Step 4: Simplify right side
    422,591.41x = 133,549,695,745.80
  5. Step 5: Solve for x
    x = 133,549,695,745.80/422,591.41
  6. Step 6: Final answer
    x = 316,025.58

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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.