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Finding the Fourth Proportional to 422,580.04, 583,157.10 and 231,592.97

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Solution

The fourth proportional to 422,580.04, 583,157.10 and 231,592.97 is: 319,596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,580.04 : 583,157.10 = 231,592.97 : x
  2. Step 2: Convert to fraction form
    422,580.04/583,157.10 = 231,592.97/x
  3. Step 3: Cross multiply
    422,580.04x = 583,157.10 × 231,592.97
  4. Step 4: Simplify right side
    422,580.04x = 135,055,087,091.95
  5. Step 5: Solve for x
    x = 135,055,087,091.95/422,580.04
  6. Step 6: Final answer
    x = 319,596.47

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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.