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Finding the Fourth Proportional to 488,765.73, 732,194.14 and 232,233.21

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Solution

The fourth proportional to 488,765.73, 732,194.14 and 232,233.21 is: 347,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,765.73 : 732,194.14 = 232,233.21 : x
  2. Step 2: Convert to fraction form
    488,765.73/732,194.14 = 232,233.21/x
  3. Step 3: Cross multiply
    488,765.73x = 732,194.14 × 232,233.21
  4. Step 4: Simplify right side
    488,765.73x = 170,039,795,475.39
  5. Step 5: Solve for x
    x = 170,039,795,475.39/488,765.73
  6. Step 6: Final answer
    x = 347,896.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.