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Finding the Fourth Proportional to 644,683.83, 966,796.92 and 189,147.93

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Solution

The fourth proportional to 644,683.83, 966,796.92 and 189,147.93 is: 283,654.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,683.83 : 966,796.92 = 189,147.93 : x
  2. Step 2: Convert to fraction form
    644,683.83/966,796.92 = 189,147.93/x
  3. Step 3: Cross multiply
    644,683.83x = 966,796.92 × 189,147.93
  4. Step 4: Simplify right side
    644,683.83x = 182,867,636,148.38
  5. Step 5: Solve for x
    x = 182,867,636,148.38/644,683.83
  6. Step 6: Final answer
    x = 283,654.76

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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.