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Finding the Fourth Proportional to 384,316.67, 576,824.83 and 204,553.02

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Solution

The fourth proportional to 384,316.67, 576,824.83 and 204,553.02 is: 307,015.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,316.67 : 576,824.83 = 204,553.02 : x
  2. Step 2: Convert to fraction form
    384,316.67/576,824.83 = 204,553.02/x
  3. Step 3: Cross multiply
    384,316.67x = 576,824.83 × 204,553.02
  4. Step 4: Simplify right side
    384,316.67x = 117,991,258,103.36
  5. Step 5: Solve for x
    x = 117,991,258,103.36/384,316.67
  6. Step 6: Final answer
    x = 307,015.72

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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.