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Finding the Fourth Proportional to 468,654.31, 646,741.96 and 253,793.71

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Solution

The fourth proportional to 468,654.31, 646,741.96 and 253,793.71 is: 350,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,654.31 : 646,741.96 = 253,793.71 : x
  2. Step 2: Convert to fraction form
    468,654.31/646,741.96 = 253,793.71/x
  3. Step 3: Cross multiply
    468,654.31x = 646,741.96 × 253,793.71
  4. Step 4: Simplify right side
    468,654.31x = 164,139,039,189.73
  5. Step 5: Solve for x
    x = 164,139,039,189.73/468,654.31
  6. Step 6: Final answer
    x = 350,234.78

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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.