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Finding the Fourth Proportional to 338,419.40, 467,231.12 and 217,770.35

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Solution

The fourth proportional to 338,419.40, 467,231.12 and 217,770.35 is: 300,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,419.40 : 467,231.12 = 217,770.35 : x
  2. Step 2: Convert to fraction form
    338,419.40/467,231.12 = 217,770.35/x
  3. Step 3: Cross multiply
    338,419.40x = 467,231.12 × 217,770.35
  4. Step 4: Simplify right side
    338,419.40x = 101,749,081,108.29
  5. Step 5: Solve for x
    x = 101,749,081,108.29/338,419.40
  6. Step 6: Final answer
    x = 300,659.72

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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.