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Finding the Fourth Proportional to 612,654.89, 845,414.75 and 340,723.31

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Solution

The fourth proportional to 612,654.89, 845,414.75 and 340,723.31 is: 470,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,654.89 : 845,414.75 = 340,723.31 : x
  2. Step 2: Convert to fraction form
    612,654.89/845,414.75 = 340,723.31/x
  3. Step 3: Cross multiply
    612,654.89x = 845,414.75 × 340,723.31
  4. Step 4: Simplify right side
    612,654.89x = 288,052,508,567.56
  5. Step 5: Solve for x
    x = 288,052,508,567.56/612,654.89
  6. Step 6: Final answer
    x = 470,170.92

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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.