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Finding the Fourth Proportional to 422,548.46, 583,121.47 and 231,557.75

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Solution

The fourth proportional to 422,548.46, 583,121.47 and 231,557.75 is: 319,552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,548.46 : 583,121.47 = 231,557.75 : x
  2. Step 2: Convert to fraction form
    422,548.46/583,121.47 = 231,557.75/x
  3. Step 3: Cross multiply
    422,548.46x = 583,121.47 × 231,557.75
  4. Step 4: Simplify right side
    422,548.46x = 135,026,294,412.10
  5. Step 5: Solve for x
    x = 135,026,294,412.10/422,548.46
  6. Step 6: Final answer
    x = 319,552.21

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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.