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Finding the Fourth Proportional to 384,017.40, 576,092.97 and 131,323.17

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Solution

The fourth proportional to 384,017.40, 576,092.97 and 131,323.17 is: 197,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,017.40 : 576,092.97 = 131,323.17 : x
  2. Step 2: Convert to fraction form
    384,017.40/576,092.97 = 131,323.17/x
  3. Step 3: Cross multiply
    384,017.40x = 576,092.97 × 131,323.17
  4. Step 4: Simplify right side
    384,017.40x = 75,654,355,035.11
  5. Step 5: Solve for x
    x = 75,654,355,035.11/384,017.40
  6. Step 6: Final answer
    x = 197,007.62

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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.