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Finding the Fourth Proportional to 423,003.82, 583,735.26 and 232,015.54

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Solution

The fourth proportional to 423,003.82, 583,735.26 and 232,015.54 is: 320,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,003.82 : 583,735.26 = 232,015.54 : x
  2. Step 2: Convert to fraction form
    423,003.82/583,735.26 = 232,015.54/x
  3. Step 3: Cross multiply
    423,003.82x = 583,735.26 × 232,015.54
  4. Step 4: Simplify right side
    423,003.82x = 135,435,651,565.94
  5. Step 5: Solve for x
    x = 135,435,651,565.94/423,003.82
  6. Step 6: Final answer
    x = 320,175.95

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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.