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Finding the Fourth Proportional to 321,683.15, 482,032.64 and 171,944.73

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Solution

The fourth proportional to 321,683.15, 482,032.64 and 171,944.73 is: 257,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,683.15 : 482,032.64 = 171,944.73 : x
  2. Step 2: Convert to fraction form
    321,683.15/482,032.64 = 171,944.73/x
  3. Step 3: Cross multiply
    321,683.15x = 482,032.64 × 171,944.73
  4. Step 4: Simplify right side
    321,683.15x = 82,882,971,276.26
  5. Step 5: Solve for x
    x = 82,882,971,276.26/321,683.15
  6. Step 6: Final answer
    x = 257,654.07

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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.