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Finding the Fourth Proportional to 423,216.63, 584,037.30 and 232,233.21

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Solution

The fourth proportional to 423,216.63, 584,037.30 and 232,233.21 is: 320,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,216.63 : 584,037.30 = 232,233.21 : x
  2. Step 2: Convert to fraction form
    423,216.63/584,037.30 = 232,233.21/x
  3. Step 3: Cross multiply
    423,216.63x = 584,037.30 × 232,233.21
  4. Step 4: Simplify right side
    423,216.63x = 135,632,856,938.73
  5. Step 5: Solve for x
    x = 135,632,856,938.73/423,216.63
  6. Step 6: Final answer
    x = 320,480.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.